Question

There's this infinite geometric mean, or the infinity'th term of a sequence of finite means. I know what it converges to, but how do I prove it?

score 139 · Answer 1 · 2026-02-23 21:19:11

139

Views

There's this infinite geometric mean, or the infinity'th term of a sequence of finite means. I know what it converges to, but how do I prove it?

Published on 23 Feb 2026 - 21:19

score 103 · Answer 2 · 2022-06-23 15:04:14

103

Views

Solving a sequence using arithmetic or geometric progression

Published on 23 Jun 2022 - 15:04

score 70 · Answer 3 · 2022-06-24 15:09:20

70

Views

Geometrical series extra term confusion

Published on 24 Jun 2022 - 15:09

score 147 · Answer 4 · 2022-07-07 00:33:10

147

Views

Sum of a geometric sequence where index doesn't start from $~1~$

Published on 07 Jul 2022 - 0:33

score 204 · Answer 5 · 2022-07-10 09:47:54

204

Views

Evaluating the sum of large coefficients of a generating function

Published on 10 Jul 2022 - 9:47

score 22 · Answer 6 · 2022-07-17 17:35:57

22

Views

Determining a the value of an infinite sum from geometric progression and series

Published on 17 Jul 2022 - 17:35

score 39 · Answer 7 · 2022-07-18 11:35:01

39

Views

Infinite geometric series question

Published on 18 Jul 2022 - 11:35

score 63 · Answer 8 · 2022-07-29 07:49:55

63

Views

How to solve this problem with geometrical series?

Published on 29 Jul 2022 - 7:49

score 101 · Answer 9 · 2022-08-02 10:15:36

101

Views

Solving $ \frac{r^{200}-1}{r^{199}-1} = \frac{\alpha}{\beta}$ in a question on Geometric Progressions

Published on 02 Aug 2022 - 10:15

score 55 · Answer 10 · 2022-08-09 16:39:54

55

Views

What is the sum of geometric series if r is approaching 1 from left side?

Published on 09 Aug 2022 - 16:39

score 41 · Answer 11 · 2022-08-13 07:53:45

41

Views

Convergences of series - Geometric series & quotient rule

Published on 13 Aug 2022 - 7:53

score 37 · Answer 12 · 2022-08-19 00:41:40

37

Views

Partitioning single series into two geometric series to prove convergence

Published on 19 Aug 2022 - 0:41

score 107 · Answer 13 · 2022-08-27 02:38:47

107

Views

If x is some fixed real number, for each $ n \in N $ find the sum of $1-x-x^2-x^3-...-x^n$.

Published on 27 Aug 2022 - 2:38

score 90 · Answer 14 · 2022-08-27 08:06:53

90

Views

Proving an infinite geometric sum

Published on 27 Aug 2022 - 8:06

score 109 · Answer 15 · 2022-08-30 20:50:26

109

Views

Can the formula for a series be "reverse engineered" given some of its terms?

Published on 30 Aug 2022 - 20:50

List Question

There's this infinite geometric mean, or the infinity'th term of a sequence of finite means. I know what it converges to, but how do I prove it?

Solving a sequence using arithmetic or geometric progression

Geometrical series extra term confusion

Sum of a geometric sequence where index doesn't start from $~1~$

Evaluating the sum of large coefficients of a generating function

Determining a the value of an infinite sum from geometric progression and series

Infinite geometric series question

How to solve this problem with geometrical series?

Solving $ \frac{r^{200}-1}{r^{199}-1} = \frac{\alpha}{\beta}$ in a question on Geometric Progressions

What is the sum of geometric series if r is approaching 1 from left side?

Convergences of series - Geometric series & quotient rule

Partitioning single series into two geometric series to prove convergence

If x is some fixed real number, for each $ n \in N $ find the sum of $1-x-x^2-x^3-...-x^n$.

Proving an infinite geometric sum

Can the formula for a series be "reverse engineered" given some of its terms?

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