List questions from geometric-series

Published on 12 Apr 2026 - 4:28

61

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How to find the sum of a geometric series for which $a_4 =-80$, $a_7=640$, and $n=12$

Published on 14 Apr 2026 - 10:30

4.6k

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Prove that 1/2 + 1/4 + 1/8 ....... = 1

Published on 17 Apr 2026 - 22:02

22

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A minor question on whether I've expressed my Laurent series with the correct exponent.

Published on 13 Apr 2026 - 19:55

952

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Evaluate $\lim\limits_{n\rightarrow \infty}\frac{n+n^2+n^3+\cdots +n^n}{1^n+2^n+3^n+\cdots +n^n}.$

Published on 17 Apr 2026 - 0:33

41

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Find a polynomial $p(x)$ such that $p(x)(2x+6x^2+\cdots + n(n+1)x^n + \cdots ) = \frac{2x(1+x)^2}{(1-x)}$

Published on 17 Apr 2026 - 5:32

47

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Is this in the form of a geometric series?

Published on 15 Apr 2026 - 9:32

172

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Find the ratio of a geometric series given a partial sum

Published on 13 Apr 2026 - 7:13

349

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How to sum a "complex" finite geometric series?

Published on 08 Apr 2026 - 20:30

618

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Mean of series is always less than the last element

Published on 12 Apr 2026 - 22:55

67

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Conditions for convergence of $\frac{1}{1-\phi x}$

Published on 16 Apr 2026 - 4:49

16.7k

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How to find the sum of a geometric series with a negative common ratio?

Published on 09 Apr 2026 - 19:40

352

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Convergence of geometric series factor 3/4 word problem

Published on 11 Apr 2026 - 20:58

263

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Simplifying a Geometric Series with Two Power Terms

Published on 11 Apr 2026 - 14:50

235

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Find the indicated term of the geometric sequence algebraically.

Published on 13 Apr 2026 - 19:13

List Question

A conjecture on bounded complex partial sums

How to find the sum of a geometric series for which $a_4 =-80$, $a_7=640$, and $n=12$

Prove that 1/2 + 1/4 + 1/8 ....... = 1

A minor question on whether I've expressed my Laurent series with the correct exponent.

Evaluate $\lim\limits_{n\rightarrow \infty}\frac{n+n^2+n^3+\cdots +n^n}{1^n+2^n+3^n+\cdots +n^n}.$

Find a polynomial $p(x)$ such that $p(x)(2x+6x^2+\cdots + n(n+1)x^n + \cdots ) = \frac{2x(1+x)^2}{(1-x)}$

Is this in the form of a geometric series?

Find the ratio of a geometric series given a partial sum

How to sum a "complex" finite geometric series?

Mean of series is always less than the last element

Conditions for convergence of $\frac{1}{1-\phi x}$

How to find the sum of a geometric series with a negative common ratio?

Convergence of geometric series factor 3/4 word problem

Simplifying a Geometric Series with Two Power Terms

Find the indicated term of the geometric sequence algebraically.

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