Question

Where do the arithmetic and geometric series formulas come from? Was their discovery by chance?

score 1.4k · Answer 1 · 2026-03-26 06:29:55

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Where do the arithmetic and geometric series formulas come from? Was their discovery by chance?

Published on 26 Mar 2026 - 6:29

score 603 · Answer 2 · 2016-12-21 05:17:06

If $pth$ term of an A.P is $q$ and its $qth$ is $ p$, show that its $rth$ term is $p+q-r$. What is its $(p+q)th $term?

score 1.6k · Answer 3 · 2016-12-22 10:15:43

1.6k

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A.P. terms in a Quadratic equation.

Published on 22 Dec 2016 - 10:15

score 79 · Answer 4 · 2016-12-22 11:55:23

79

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(Relatively) Straightforward Arithmetic Sequence Question

Published on 22 Dec 2016 - 11:55

score 8.6k · Answer 5 · 2016-12-24 09:33:31

8.6k

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Find the number of terms in this AP

Published on 24 Dec 2016 - 9:33

score 523 · Answer 6 · 2026-03-25 15:41:11

523

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Intuition behind Roth's Theorem of 3 term AP

Published on 25 Mar 2026 - 15:41

score 254 · Answer 7 · 2016-12-28 13:47:01

254

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Number of ways to make n groups of size m each out of nm consecutive natural numbers so that the numbers contained in each group are in AP.

Published on 28 Dec 2016 - 13:47

score 57 · Answer 8 · 2016-12-29 05:36:20

57

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Trying to convert a summation to an equation

Published on 29 Dec 2016 - 5:36

score 189 · Answer 9 · 2016-12-30 14:56:11

189

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Arithmetic progression defined by three numbers

Published on 30 Dec 2016 - 14:56

score 77 · Answer 10 · 2026-03-26 06:28:29

77

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Does proving that a triangle is in AP or GP have any significant meaning?

Published on 26 Mar 2026 - 6:28

score 58 · Answer 11 · 2017-01-07 15:17:36

58

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An A.P. whose $(a_1 +1)^{th}$ term is prime

Published on 07 Jan 2017 - 15:17

score 4.6k · Answer 12 · 2017-01-09 14:37:39

4.6k

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If there is one perfect square in an arithmetic progression, then there are infinitely many

Published on 09 Jan 2017 - 14:37

score 1.9k · Answer 13 · 2017-01-09 18:10:27

1.9k

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Find the numbers in A.P. those sum is $24$ and product is $440$

Published on 09 Jan 2017 - 18:10

score 99 · Answer 14 · 2017-01-10 16:18:42

99

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Infinitely many squares in any AP with integer $a, d$.

Published on 10 Jan 2017 - 16:18

score 184 · Answer 15 · 2026-03-25 12:49:44

184

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On the number of representations of a positive integer into the form $x=p+dq$, where $p$ and $q$ are primes and $d$ is a given positive integer

Published on 25 Mar 2026 - 12:49

List Question

Where do the arithmetic and geometric series formulas come from? Was their discovery by chance?

If $pth$ term of an A.P is $q$ and its $qth$ is $ p$, show that its $rth$ term is $p+q-r$. What is its $(p+q)th $term?

A.P. terms in a Quadratic equation.

(Relatively) Straightforward Arithmetic Sequence Question

Find the number of terms in this AP

Intuition behind Roth's Theorem of 3 term AP

Number of ways to make n groups of size m each out of nm consecutive natural numbers so that the numbers contained in each group are in AP.

Trying to convert a summation to an equation

Arithmetic progression defined by three numbers

Does proving that a triangle is in AP or GP have any significant meaning?

An A.P. whose $(a_1 +1)^{th}$ term is prime

If there is one perfect square in an arithmetic progression, then there are infinitely many

Find the numbers in A.P. those sum is $24$ and product is $440$

Infinitely many squares in any AP with integer $a, d$.

On the number of representations of a positive integer into the form $x=p+dq$, where $p$ and $q$ are primes and $d$ is a given positive integer

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