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Tag
arithmetic
Recent questions tagged arithmetic
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What is the difference between arithmetic and mathematics?
What is the difference between arithmetic and mathematics?
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Mathematics
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mathematics
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What is modular arithmetic?
What is modular arithmetic?
Edzai Zvobwo
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Feb 23
Mathematics
modular
arithmetic
calculate
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1
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What is the fundamental theorem of arithmetic?
What is the fundamental theorem of arithmetic?
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Feb 23
Mathematics
fundamental
theorem
arithmetic
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105
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What is the arithmetic mean?
What is the arithmetic mean?
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arithmetic
mean
sequence
calculate
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1
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What is the palindrome of 66?
What is the palindrome of 66?
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Mathematics
numbers
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arithmetic
value
palindrome
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173
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1
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What is arithmetic geometry?
What is arithmetic geometry?
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Dec 31, 2023
Mathematics
geometry
congruence
sequence
algebraic
expression
arithmetic
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138
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1
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What is the name of the terms of the four essential arithmetic operations?
What is the name of the terms of the four essential arithmetic operations?
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Mathematics
name
terms
four
essential
arithmetic
operations
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215
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2
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Evaluate \(9^{\frac{ 150}{300}}\)
Evaluate \(9^{\frac{ 150}{300}}\)
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Jul 16, 2023
Mathematics
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552
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What are the 4 types of math?
What are the 4 types of math?
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Mar 28, 2023
Mathematics
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algebra
types
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538
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What are axioms of arithmetic?
What are axioms of arithmetic?
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Feb 6, 2023
Mathematics
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What is geometric thinking ?
What is geometric thinking ?
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Mathematics
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grade12
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252
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Arithmetic - PHET Simulation
Arithmetic - PHET Simulation
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Jan 31, 2023
Mathematics
arithmetic
phet
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327
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\(8 ; 24 ; 72 ; \ldots \ldots\)
\(8 ; 24 ; 72 ; \ldots \ldots\)a) Write down the next 3 terms of the sequence.b) Find the general term.c) Show by calculation whether 5832 is a term of this sequence or n...
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Jan 30, 2023
Mathematics
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arithmetic
general
terms
series
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466
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0
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Consider the geometric sequence: \(\quad 8 x^2 ; 4 x^3 ; 2 x^4 ; \ldots \ldots \ldots\)
Consider the geometric sequence: \(\quad 8 x^2 ; 4 x^3 ; 2 x^4 ; \ldots \ldots \ldots\)(a) Show that the general term is given by \(\mathrm{T}_n=2^{4-n} \cdot x^{1+n}\)(b...
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Mathematics
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general
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372
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Calculate the difference between \(S_{\infty}\) and \(S_7\) of \(4+\frac{4}{3}+\frac{4}{9}+\ldots\)
Calculate the difference between \(S_{\infty}\) and \(S_7\) of \(4+\frac{4}{3}+\frac{4}{9}+\ldots\)
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arithmetic
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450
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The 3rd and 12th terms of an arithmetic progression are 12 and \(-24\) respectively. Determine the 49th term.
The 3rd and 12th terms of an arithmetic progression are 12 and \(-24\) respectively. Determine the 49th term.
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grade12
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questions
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unknown
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530
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The 11th term of an arithmetic sequence is 32 and the sum of the first 11 terms is 187 . Calculate the 21st term.
The 11th term of an arithmetic sequence is 32 and the sum of the first 11 terms is 187 . Calculate the 21st term.
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Mathematics
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questions
geometric
people
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501
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\(2 ; x ; y\) are the first three terms of an arithmetic sequence. If the 2nd term is decreased by 1 , the three terms will form a geometric sequence. Calculate \(x\) and \(y\).
\(2 ; x ; y\) are the first three terms of an arithmetic sequence. If the 2nd term is decreased by 1 , the three terms will form a geometric sequence. Calculate \(x\) and...
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sequence
grade12
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questions
arithmetic
geometric
people
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326
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If \(\mathrm{T}_3=\frac{15}{16}, \mathrm{~T}_6=\frac{5}{18}\) and the last term is \(\frac{40}{729}\), find the number of terms in the sequence if the sequence is geometric.
If \(\mathrm{T}_3=\frac{15}{16}, \mathrm{~T}_6=\frac{5}{18}\) and the last term is \(\frac{40}{729}\), find the number of terms in the sequence if the sequence is geometr...
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terms
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455
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The 9th term and the 6th term of an geometric sequence are 80 and 10 respectively.
The 9 th term and the 6 th term of an geometric sequence are 80 and 10 respectively.(a) Find the first term and the constant ratio.(b) Find the number of terms if the las...
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grade12
questions
geometric
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320
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0
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Determine the first three terms of each of the following geometric sequences of which:
Determine the first three terms of each of the following geometric sequences of which:(a) the 6th term is 28 and 11th term is 896 .(b) the 2 nd term is 3 and the 4 th ter...
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questions
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unknown
equations
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855
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0
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The first term and the last term of an arithmetic series is 5 and 61 respectively while the sum of all the terms is 957 . Determine the number of terms in the series.
The first term and the last term of an arithmetic series is 5 and 61 respectively while the sum of all the terms is 957 . Determine the number of terms in the series.
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arithmetic
questions
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661
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0
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The 13th and 7th terms of an arithmetic sequence are 15 and 51 respectively.
The 13th and 7th terms of an arithmetic sequence are 15 and 51 respectively.(a) Which term is equal to \(-21\) ?(b) Show that 66 is not a term of the sequence.
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unknown
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344
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The 15 th and 3rd terms of an arithmetic sequence are 100 and 28 respectively. Determine the 100th term.
The 15 th and 3rd terms of an arithmetic sequence are 100 and 28 respectively. Determine the 100th term.
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grade12
questions
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unknown
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431
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0
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Determine the first three terms of each of the following arithmetic sequences of which:
Determine the first three terms of each of the following arithmetic sequences of which:(a) the 3rd term of the sequence is 23 and the 26th term is 230 .(b) the 5 th term ...
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questions
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equations
unknown
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308
views
1
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Determine the first three terms of the geometric sequence of which the 7th term is 1458 and the 4th term is 54.
Determine the first three terms of the geometric sequence of which the 7th term is 1458 and the 4th term is 54.
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equations
unknown
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497
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1
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The sum of the first 12 terms of an arithmetic series is 96 . The 3rd and 6th terms add up to 12 . Determine the first term and the common difference.
The sum of the first 12 terms of an arithmetic series is 96 . The 3rd and 6th terms add up to 12 . Determine the first term and the common difference.
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formula
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calculate
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375
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1
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Determine the first 3 terms of an arithmetic sequence if the 5 th term of the sequence is 12 and the 14 th term is \(-33\). Hence determine the 40th term.
Determine the first 3 terms of an arithmetic sequence if the 5 th term of the sequence is 12 and the 14 th term is \(-33\). Hence determine the 40th term.
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questions
equations
unknown
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455
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Determine \(m\) in each of the following arithmetic series:
Determine \(m\) in each of the following arithmetic series:(a) \(\quad \sum_{k=1}^m(2)^{8-k}=255 \frac{1}{2}\)(b) \(\quad \sum_{p=1}^m(-8)\left(\frac{1}{2}\right)^{p-1}=-...
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arithmetic
questions
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210
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How many terms of the geometric sequence \(\frac{1}{27} ; \frac{1}{9} ; \frac{1}{3} ; \ldots\)
How many terms of the geometric sequence \(\frac{1}{27} ; \frac{1}{9} ; \frac{1}{3} ; \ldots\)
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series
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converge
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394
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How many terms of the geometric sequence \(64 ; 32 ; 16 ; \ldots\) will add up to \(127 \frac{1}{2}\) ?
How many terms of the geometric sequence \(64 ; 32 ; 16 ; \ldots\) will add up to \(127 \frac{1}{2}\) ?
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200
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Evaluate: \(-9-6-4-\ldots .-1 \frac{5}{27}\)
Evaluate: \(-9-6-4-\ldots .-1 \frac{5}{27}\)
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424
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How many terms are there in the series \(-64-32-16-\ldots .-\frac{1}{32}\). What is the sum of the series?
How many terms are there in the series \(-64-32-16-\ldots .-\frac{1}{32}\). What is the sum of the series?
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419
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Calculate the sum of the first 12 terms of the geometric sequence \[ \frac{1}{4} ;-\frac{1}{2} ; 1 ; \ldots . \]
Calculate the sum of the first 12 terms of the geometric sequence\[\frac{1}{4} ;-\frac{1}{2} ; 1 ; \ldots .\]
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questions
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equations
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261
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How many terms of the geometric sequence \(-1 ; 2 ;-4 ; 8 ; \ldots\). will add up to \(349525 ?\)
How many terms of the geometric sequence \(-1 ; 2 ;-4 ; 8 ; \ldots\). will add up to \(349525 ?\)
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179
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Evaluate the geometric series: \(S_6=4+12+36+108+324+972\)
Evaluate the geometric series: \(S_6=4+12+36+108+324+972\)
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376
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How many terms of the arithmetic sequence \(4 ; 7 ; 10 ; 13 ; \ldots\) will add up to 175 ?
How many terms of the arithmetic sequence \(4 ; 7 ; 10 ; 13 ; \ldots\) will add up to 175 ?
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157
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Evaluate the arithmetic series: \(S_8=3+5+7+9+11+13+15+17\)
Evaluate the arithmetic series: \(S_8=3+5+7+9+11+13+15+17\)
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Mathematics
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sequence
visually
data
range
mode
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520
views
1
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\(t+1 ; 1-t ; 1-5 t ; \ldots\) are the first three terms of a geometric sequence.
\(t+1 ; 1-t ; 1-5 t ; \ldots\) are the first three terms of a geometric sequence.(a) Determine the numerical value of \(t\) where \(t \neq 0\).(b) Determine the sequence....
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unknown
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265
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\(x-4 ; x+2 ; 3 x+1 ; \ldots\) are the first three terms of a geometric sequence. Determine the sequence if \(x\) is positive.
\(x-4 ; x+2 ; 3 x+1 ; \ldots\) are the first three terms of a geometric sequence. Determine the sequence if \(x\) is positive.
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grade12
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427
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Consider the following sequences:
Consider the following sequences:sequence \(1: \quad \sqrt{2} ; 2 \sqrt{2} ; 3 \sqrt{2} ; \ldots \ldots . \quad\) sequence \(2: \sqrt{2} ; 2 ; 2 \sqrt{2} ; \ldots \ldots ...
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392
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Consider the following sequence: 0,\(625 ; 1,25 ; 2,5 ; 5 ; \ldots .\).
Consider the following sequence: 0,\(625 ; 1,25 ; 2,5 ; 5 ; \ldots .\).(a) Determine the value of the 10th term.(b) Determine which term will equal 80 .
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Determine the number of terms in the sequence \(-\frac{3}{8} ; \frac{3}{4} ;-\frac{3}{2} ; \ldots .192\)
Determine the number of terms in the sequence \(-\frac{3}{8} ; \frac{3}{4} ;-\frac{3}{2} ; \ldots .192\)
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Which term of the geometric sequence \(2 ; 6 ; 18 ; \ldots\). is equal to 4374 ?
Which term of the geometric sequence \(2 ; 6 ; 18 ; \ldots\). is equal to 4374 ?
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Mathematics
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value
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arithmetic
numbers
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344
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Determine the 9th term for each of the following geometric sequences:
Determine the 9th term for each of the following geometric sequences:(a) \(128 ; 64 ; 32 ; \ldots .\).(b) 0,\(25 ; 0,5 ; 1 ; \ldots\).(c) \(\frac{4}{9} ; 1 \frac{1}{3} ; ...
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Mathematics
grade12
geometric
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questions
formula
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245
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0
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Determine the general term for each of the following geometric sequences:
Determine the general term for each of the following geometric sequences:(a) \(2 ;-1 ; \frac{1}{2} ; \ldots\).(b) \(2 ; 8 ; 32 ; \ldots .\).(c) \(-\frac{2}{3} ; 2 ;-6 ; \...
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Mathematics
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formula
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550
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1
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\(k+1 ; k-1 ; 2 k-5\) are the first three terms of a geometric sequence. Calculate the value of \(k\) and hence determine the possible sequences.
\(k+1 ; k-1 ; 2 k-5\) are the first three terms of a geometric sequence. Calculate the value of \(k\) and hence determine the possible sequences.
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unknown
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254
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Determine which term in the sequence \(4 ; 12 ; 36 ; 108 ; \ldots\) is equal to 8748 .
Determine which term in the sequence \(4 ; 12 ; 36 ; 108 ; \ldots\) is equal to 8748 .
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Mathematics
sum
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274
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Consider the following sequence \(-5 ; 10 ;-20 ; 40 ; \ldots\)
Consider the following sequence \(-5 ; 10 ;-20 ; 40 ; \ldots\)(a) Show that the above sequence is geometric.(b) Determine the value of the 20 th term of the above sequenc...
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266
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Consider the geometric sequence \(2 ; 3 ; 4,5 ; 6,25 ; \ldots\)
Consider the geometric sequence \(2 ; 3 ; 4,5 ; 6,25 ; \ldots\)(a) Determine a formula for the general term of the sequence.(b) Find the value of the 15 th term.
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