List questions from geometric-progressions

Published on 26 Mar 2026 - 3:46

310

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If $ \sum_{r=1}^{n} t_r $ = $ { n ( n + 1 ) ( n + 2 ) ( n + 3 ) } \over {8} $ , then what does $ \sum_{r=1}^{n} {1\over {t_r} } $ equal to?

Published on 21 Mar 2026 - 21:55

527

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Use geometric progression formula to expand generating function into a power series?

Published on 14 Dec 2015 - 16:12

132

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If $ ax^2 + 2bx + c = 0 $ and $ a_1x^2 + 2b_1x + c_1 = 0 $ have a common root , then prove the following.

Published on 24 Mar 2026 - 23:00

414

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Geometric progression in an inequality

Published on 05 Jan 2016 - 9:34

233

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Pythagorean Theorem via Geometric Progression

Published on 06 Jan 2016 - 19:52

139

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Find the ratio of a geometric sequence such that its sum is $4$ times the first term

Published on 07 Jan 2016 - 14:29

43

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Is there a name for such series?

Published on 09 Jan 2016 - 15:56

33.2k

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Is it more accurate to use the term Geometric Growth or Exponential Growth?

Published on 13 Jan 2016 - 18:00

66

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How to solve a series in which part of the term is in AP and other part is in GP?

Published on 17 Jan 2016 - 16:53

296

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The $n-th$ term of a sequence is the LCM of the integers from $1$ to $n$

Published on 24 Jan 2016 - 16:14

2k

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Find the fourth term in each series?

Published on 25 Jan 2016 - 10:50

413

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Finding the value for $x$ for which the series converges

Published on 03 Feb 2016 - 23:53

61

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Product of a modified/generalized geometric progression

Published on 04 Feb 2016 - 16:26

97

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Geometric progression, two equations problem

Published on 11 Feb 2016 - 0:11

List Question

Geometric progression with negative r value

If $ \sum_{r=1}^{n} t_r $ = $ { n ( n + 1 ) ( n + 2 ) ( n + 3 ) } \over {8} $ , then what does $ \sum_{r=1}^{n} {1\over {t_r} } $ equal to?

Use geometric progression formula to expand generating function into a power series?

If $ ax^2 + 2bx + c = 0 $ and $ a_1x^2 + 2b_1x + c_1 = 0 $ have a common root , then prove the following.

Geometric progression in an inequality

Pythagorean Theorem via Geometric Progression

Find the ratio of a geometric sequence such that its sum is $4$ times the first term

Is there a name for such series?

Is it more accurate to use the term Geometric Growth or Exponential Growth?

How to solve a series in which part of the term is in AP and other part is in GP?

The $n-th$ term of a sequence is the LCM of the integers from $1$ to $n$

Find the fourth term in each series?

Finding the value for $x$ for which the series converges

Product of a modified/generalized geometric progression

Geometric progression, two equations problem

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