Seach the website
Login
Register
Dark Mode
Brightness
Profile
Edit Profile
Messages
My favorites
My Updates
Logout
Learn more about SANRAL Bursaries
Home
Tag
sum
Recent questions tagged sum
116
views
1
answers
Is it true that the product of any number multiplied by 9 has a sum which is a multiply of 9?
Is it true that the product of any number multiplied by 9 has a sum which is a multiply of 9?
MathsGee
Platinum
113k
points
MathsGee
asked
Mar 19
Mathematics
product
number
multiplied
sum
multiply
+
–
95
views
1
answers
Prove that $x_n \rightarrow x$.
Assume ${\{x_n\}_{n\in\mathbb{N}}}$ is a Cauchy sequence in a metric space X, and there exists a subsequence ${\{x_{n_k}\}_{k\in\mathbb{N}}}$ that converges to $x \in X$...
MathsGee
Platinum
113k
points
MathsGee
asked
Mar 11
Mathematics
function
converge
prove
sum
infinite
telescoping
partial
+
–
71
views
1
answers
Prove that $f$ must be polynomial.
Suppose that $f$ is an entire function, and$$ | f(z) | \leq A + B|z|^k$$for all $z$, where $A, B, k$ are positive real numbers. Prove that $f$ must be polynomial.
MathsGee
Platinum
113k
points
MathsGee
asked
Mar 10
Mathematics
prove
theorem
math
sum
minimum
function
real
+
–
80
views
1
answers
Prove that $F$ attains a minimum at $y = \frac{1}{n} \sum_{i=1}^n x_i$.
Let $\{ x_i \}_{i=1}^n \subset \mathbb{R}^D$. Define $F: \mathbb{R}^D \to [0,\infty)$ via:$$ F(y) = \sum_{i=1}^n \Vert x_i - y \Vert_2^2$$Prove that $F$ attains a minimum...
MathsGee
Platinum
113k
points
MathsGee
asked
Mar 10
Mathematics
prove
minimum
sum
theorem
math
+
–
103
views
1
answers
Find all pairs of consecutive odd positive integers, both of which are smaller than 18, such that their sum is more than 20.
Find all pairs of consecutive odd positive integers, both of which are smaller than 18, such that their sum is more than 20.
A.M9
111
points
A.M9
asked
Feb 24
Mathematics
positive
sum
integers
consecutive
+
–
163
views
1
answers
What is the sum of odd natural numbers?
What is the sum of odd natural numbers?
MathsGee
Platinum
113k
points
MathsGee
asked
Feb 2
Mathematics
numbers
question
sum
odd
+
–
82
views
1
answers
What is the palindrome of 66?
What is the palindrome of 66?
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 26
Mathematics
numbers
calculate
sequence
sum
arithmetic
value
palindrome
+
–
189
views
1
answers
Prove that if the series $\sum_{n=1}^{\infty} a_{n}$ converges, then $\lim _{n \rightarrow \infty} a_{n}=0$
Prove that if the series $\sum_{n=1}^{\infty} a_{n}$ converges, then $\lim _{n \rightarrow \infty} a_{n}=0$
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 25
Mathematics
converge
series
infinite
sum
telescoping
partial
term
+
–
139
views
1
answers
Which is the smallest?
Which is the smallest?(a) -1,(b) -1/2,(c) 0,(d) 3.
Edzai Zvobwo
Bronze Status
6.2k
points
Edzai Zvobwo
asked
Nov 20, 2023
Mathematics
smallest
integers
sum
prove
positive
numbers
+
–
221
views
1
answers
How do I calculate the perimeter of a regular pentagon?
How do I calculate the perimeter of a regular pentagon?
MathsGee
Platinum
113k
points
MathsGee
asked
Nov 6, 2023
Mathematics
regular
pentagon
perimeter
sum
calculate
hexagon
kcse
+
–
243
views
1
answers
Consider the following quadratic number pattern: \( 6 ; 10 ; 18 ; \ldots \ldots \)
Consider the following quadratic number pattern: \( 6 ; 10 ; 18 ; \ldots \ldots \)1. Write down the following two terms of the pattern.2. Determine the equation of the ge...
MathsGee
Platinum
113k
points
MathsGee
asked
Oct 19, 2023
Mathematics
sequence
calculate
pattern
sum
questions
sequences
quadratic
+
–
146
views
1
answers
What is a regular polygon?
What is a regular polygon?
MathsGee
Platinum
113k
points
MathsGee
asked
Oct 10, 2023
Mathematics
regular
polygon
sum
+
–
215
views
2
answers
Evaluate \(9^{\frac{ 150}{300}}\)
Evaluate \(9^{\frac{ 150}{300}}\)
Edzai Zvobwo
Bronze Status
6.2k
points
Edzai Zvobwo
asked
Jul 16, 2023
Mathematics
calculate
sequence
sum
arithmetic
series
terms
general
+
–
191
views
2
answers
wordpress website maintenance services
How do I add custom shapes to Eliminator?
hawaiianmalia
102
points
hawaiianmalia
asked
May 12, 2023
Computers & ICT
add
fractions
subtract
algebraic
sum
+
–
385
views
1
answers
What is the total sum of all three-digit numbers that are divisible by 7?
What is the total sum of all three-digit numbers that are divisible by 7?
test27
Wooden Status
262
points
test27
asked
Apr 19, 2023
Mathematics
total
sum
three-digit
numbers
divisible
+
–
590
views
1
answers
The sum of the squares of three consecutive even numbers is 308. What are the integers?
The sum of the squares of three consecutive even numbers is 308. What are the integers? use latex
MathsGee
Platinum
113k
points
MathsGee
asked
Apr 4, 2023
Mathematics
sum
integers
consecutive
even
numbers
squares
positive
+
–
660
views
1
answers
The sum of three numbers is 96 . The first number is 6 times the third number, and the third number is 40 less than the second number. What is the absolute value of the difference between the first and second numbers?
The sum of three numbers is 96 . The first number is 6 times the third number, and the third number is 40 less than the second number. What is the absolute value of the d...
MathsGee
Platinum
113k
points
MathsGee
asked
Mar 28, 2023
Mathematics
positive
sum
integers
sets
even
consecutive
math
+
–
260
views
1
answers
Is pi an irrational number?
Is pi an irrational number?
Maths-Genie
Bronze Status
9.4k
points
Maths-Genie
asked
Mar 13, 2023
Mathematics
number
irrational
rational
fraction
prove
sum
product
+
–
424
views
1
answers
Who discovered pi?
Who discovered pi?
Maths-Genie
Bronze Status
9.4k
points
Maths-Genie
asked
Mar 13, 2023
Mathematics
prove
equation
sequence
sum
euler
beautiful
pi
+
–
658
views
1
answers
How do I declare the lump sum payment to SARS as part of a severance package?
How do I declare the lump sum payment to SARS as part of a severance package?
Maths-Genie
Bronze Status
9.4k
points
Maths-Genie
asked
Mar 13, 2023
Accounting & Tax
declare
lump
sum
payment
sars
severance
package
+
–
303
views
1
answers
Who discovered this equation \( e^{i \pi}+1=0 \)?
Who discovered this equation \( e^{i \pi}+1=0 \)?
MathsGee
Platinum
113k
points
MathsGee
asked
Feb 17, 2023
Mathematics
equation
euler
most
beautiful
prove
sum
sequence
+
–
298
views
1
answers
What is the formula for the sum of first \(n\) numbers in a geometric progression?
What is the formula for the sum of first \(n\) numbers in a geometric progression?
Maths-Genie
Bronze Status
9.4k
points
Maths-Genie
asked
Feb 10, 2023
Mathematics
formula
sum
first
numbers
geometric
progression
+
–
495
views
1
answers
What is an irrational number?
What is an irrational number?
AstraNova
Diamond
68.1k
points
AstraNova
asked
Feb 6, 2023
Mathematics
number
irrational
rational
fraction
sum
prove
product
+
–
327
views
1
answers
\(8 ; 24 ; 72 ; \ldots \ldots\)
\(8 ; 24 ; 72 ; \ldots \ldots\)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...
AstraNova
Diamond
68.1k
points
AstraNova
asked
Jan 30, 2023
Mathematics
sequence
sum
calculate
arithmetic
general
terms
series
+
–
438
views
0
answers
In an arithmetic sequence \(S_n=n^2-2 n\). Use your formula in 2 to determine the value of:
In an arithmetic sequence \(S_n=n^2-2 n\). Use your formula in 2 to determine the value of:(a) \(\mathrm{T}_7\)(b) \(\mathrm{T}_{50}\)(c) \(\mathrm{T}_n\)
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
sequence
calculate
general
terms
sum
value
prove
+
–
465
views
0
answers
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...
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
arithmetic
sum
calculate
sequence
terms
general
value
+
–
448
views
0
answers
What is the greatest value of \(p\) for which the series \(\sum_{k=1}^p 10(3)^{k-1}<2300\) ?
What is the greatest value of \(p\) for which the series \(\sum_{k=1}^p 10(3)^{k-1}<2300\) ?
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
series
converge
sum
infinite
sequence
equation
grade12
+
–
372
views
0
answers
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 \(4+\frac{4}{3}+\frac{4}{9}+\ldots\)
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
series
calculate
sequence
sum
terms
general
arithmetic
+
–
354
views
1
answers
Write each of the following series in sigma notation:
Write each of the following series in sigma notation:(a) \(1+4+7+\ldots .+70\)(b) \(1-1-3-\ldots . .-111\)(c) \(1+\frac{1}{2}+\frac{1}{4}+\ldots\)(d) \(2-6+18-54+\ldots ....
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
notation
sigma
series
standard
write
sum
information
+
–
443
views
0
answers
The sum to infinity of a convergent geometric series is 32 and \(r=\frac{1}{2}\). Find the difference between the sum to infinity and the sum of the first five terms.
The sum to infinity of a convergent geometric series is 32 and \(r=\frac{1}{2}\). Find the difference between the sum to infinity and the sum of the first five terms.
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
sequence
prove
calculate
sum
terms
general
value
+
–
348
views
1
answers
Calculate: \(\quad \sum_{n=1}^{\infty} 2.10^{1-n} \quad\) (if it exists)
Calculate: \(\quad \sum_{n=1}^{\infty} 2.10^{1-n} \quad\) (if it exists)
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
series
prove
infinite
sum
integration
theorem
sequence
+
–
277
views
1
answers
Calculate the sum to infinity of the geometric series \(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\ldots .\).
Calculate the sum to infinity of the geometric series \(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\ldots .\).
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
sequence
calculate
prove
sum
terms
general
value
+
–
269
views
1
answers
Prove that in a convergent geometric series in which \(-1<r<1\), the sum to infinity is given by the formula: \(S_{\infty}=\frac{a}{1-r}\)
Prove that in a convergent geometric series in which \(-1<r<1\), the sum to infinity is given by the formula: \(S_{\infty}=\dfrac{a}{1-r}\)
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
prove
sequence
sum
calculate
terms
general
value
+
–
324
views
0
answers
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...
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
series
arithmetic
grade12
sum
sequence
calculate
terms
+
–
372
views
0
answers
Given is the series \(1+2+3+4+5+\ldots .+n\)
Given is the series \(1+2+3+4+5+\ldots .+n\)(a) Show that \(\mathrm{S}_n=\frac{n(n+1)}{2}\).(b) Find the sum of the first 1001 terms excluding all multiples of 7.
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
series
sum
sequence
calculate
infinite
numbers
converge
+
–
229
views
0
answers
What is the least value of \(p\) for which the series \(\sum_{k=1}^p \frac{1}{16}(2)^{k-2}>31\) ?
What is the least value of \(p\) for which the series \(\sum_{k=1}^p \frac{1}{16}(2)^{k-2}>31\) ?
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
series
converge
sum
equation
sequence
infinite
+
–
377
views
1
answers
Determine \(n\) if: \(3+6+12+\ldots\) (to \(n\) terms) \(=765\)
Determine \(n\) if: \(3+6+12+\ldots\) (to \(n\) terms) \(=765\)
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
sum
series
notation
information
sigma
standard
write
+
–
209
views
0
answers
How many terms of the geometric sequence \(\frac{1}{27} ; \frac{1}{9} ; \frac{1}{3} ; \ldots\)
How many terms of the geometric sequence \(\frac{1}{27} ; \frac{1}{9} ; \frac{1}{3} ; \ldots\)
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
arithmetic
sum
terms
series
function
infinite
converge
+
–
394
views
0
answers
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 \(127 \frac{1}{2}\) ?
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
arithmetic
terms
series
sum
function
infinite
converge
+
–
366
views
0
answers
Calculate \(\sum_{i=0}^{10} 3^{4-i}\)
Calculate \(\sum_{i=0}^{10} 3^{4-i}\)
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
algebra
function
series
sum
converge
calculus
grade12
+
–
199
views
0
answers
Evaluate: \(-9-6-4-\ldots .-1 \frac{5}{27}\)
Evaluate: \(-9-6-4-\ldots .-1 \frac{5}{27}\)
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
calculate
sum
sequence
series
arithmetic
general
terms
+
–
423
views
0
answers
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?
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
calculate
sum
sequence
arithmetic
terms
general
series
+
–
246
views
0
answers
Determine the sum of each geometric series (use an appropriate formula):
Determine the sum of each geometric series (use an appropriate formula):(a) \(\frac{2}{27}+\frac{2}{9}+\frac{2}{3}+\ldots\) to 9 terms(b) \(-64+32-16+\ldots\) to 10 terms...
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
series
formula
sum
geometric
calculate
finite
sequence
+
–
259
views
1
answers
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 \(349525 ?\)
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
arithmetic
terms
series
sum
function
infinite
converge
+
–
323
views
1
answers
Find the sum of the first 12 terms of the series \(\frac{2}{3}+2+6+\ldots\)
Find the sum of the first 12 terms of the series \(\dfrac{2}{3}+2+6+\ldots\)
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
series
sum
calculate
numbers
addition
convert
time
+
–
281
views
1
answers
Prove that the sum of the first \(n\) terms of a geometric sequence is given by the formula \(\mathrm{S}_n=\frac{a\left(r^n-1\right)}{r-1}\) where \(r \neq 1 \quad\) or \(\quad \mathrm{S}_n=\frac{a\left(1-r^n\right)}{1-r}\) where \(r \neq 1\)
Prove that the sum of the first \(n\) terms of a geometric sequence is given by the formula \(\mathrm{S}_n=\dfrac{a\left(r^n-1\right)}{r-1}\) where \(r \neq 1 \quad\) or ...
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
sequence
prove
value
calculate
terms
sum
general
+
–
178
views
1
answers
Evaluate the geometric series: \(S_6=4+12+36+108+324+972\)
Evaluate the geometric series: \(S_6=4+12+36+108+324+972\)
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
calculate
sum
sequence
arithmetic
general
value
numbers
+
–
438
views
1
answers
Which formula do we use to calculate the sum of a finite geometric series?
Which formula do we use to calculate the sum of a finite geometric series?
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
formula
calculate
sum
finite
geometric
series
+
–
374
views
1
answers
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 ?
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
arithmetic
terms
series
sum
infinite
function
converge
+
–
213
views
1
answers
Calculate \(\sum_{m=2}^{100}(7-2 m)\)
Calculate \(\sum_{m=2}^{100}(7-2 m)\)
MathsGee
Platinum
113k
points
MathsGee
asked
Jan 21, 2023
Mathematics
series
function
calculus
grade12
algebra
converge
sum
+
–
Page:
1
2
3
4
5
6
...
9
next »
This site uses cookies to provide quality services and to analyze traffic. For more information, see the
Privacy Policy
Register
Email or Username
Show
Hide
Password
I forgot my password
Remember
Log in
Register