Recent questions tagged arithmetic

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What is the difference between arithmetic and mathematics?
92
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What is modular arithmetic?
85
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What is the fundamental theorem of arithmetic?
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What is the arithmetic mean?
83
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What is the palindrome of 66?
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What is arithmetic geometry?
138
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What is the name of the terms of the four essential arithmetic operations?
215
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Evaluate \(9^{\frac{ 150}{300}}\)
552
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What are the 4 types of math?
538
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What are axioms of arithmetic?
622
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What is geometric thinking ?
252
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Arithmetic - PHET Simulation
327
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\(8 ; 24 ; 72 ; \ldots \ldots\)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...
466
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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...
372
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Calculate the difference between \(S_{\infty}\) and \(S_7\) of \(4+\frac{4}{3}+\frac{4}{9}+\ldots\)
450
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The 3rd and 12th terms of an arithmetic progression are 12 and \(-24\) respectively. Determine the 49th term.
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.
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...
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 geometr...
455
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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...
320
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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...
855
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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.
661
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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.
344
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The 15 th and 3rd terms of an arithmetic sequence are 100 and 28 respectively. Determine the 100th term.
431
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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 ...
308
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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.
497
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1 answers
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.
375
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1 answers
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.
455
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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}=-...
210
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How many terms of the geometric sequence \(\frac{1}{27} ; \frac{1}{9} ; \frac{1}{3} ; \ldots\)
394
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How many terms of the geometric sequence \(64 ; 32 ; 16 ; \ldots\) will add up to \(127 \frac{1}{2}\) ?
200
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Evaluate: \(-9-6-4-\ldots .-1 \frac{5}{27}\)
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?
419
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Calculate the sum of the first 12 terms of the geometric sequence\[\frac{1}{4} ;-\frac{1}{2} ; 1 ; \ldots .\]
261
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1 answers
How many terms of the geometric sequence \(-1 ; 2 ;-4 ; 8 ; \ldots\). will add up to \(349525 ?\)
179
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1 answers
Evaluate the geometric series: \(S_6=4+12+36+108+324+972\)
376
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1 answers
How many terms of the arithmetic sequence \(4 ; 7 ; 10 ; 13 ; \ldots\) will add up to 175 ?
157
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1 answers
Evaluate the arithmetic series: \(S_8=3+5+7+9+11+13+15+17\)
520
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1 answers
\(t+1 ; 1-t ; 1-5 t ; \ldots\) are the first three terms of a geometric sequence.(a) Determine the numerical value of \(t\) where \(t \neq 0\).(b) Determine the sequence....
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.
427
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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 ...
392
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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 .
566
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Determine the number of terms in the sequence \(-\frac{3}{8} ; \frac{3}{4} ;-\frac{3}{2} ; \ldots .192\)
261
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Which term of the geometric sequence \(2 ; 6 ; 18 ; \ldots\). is equal to 4374 ?
344
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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} ; ...
245
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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 ; \...
550
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1 answers
\(k+1 ; k-1 ; 2 k-5\) are the first three terms of a geometric sequence. Calculate the value of \(k\) and hence determine the possible sequences.
254
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1 answers
Determine which term in the sequence \(4 ; 12 ; 36 ; 108 ; \ldots\) is equal to 8748 .
274
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1 answers
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...
266
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1 answers
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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