Question

Derive the formula for the sum of the first $n$ squares using derivatives and integrals

score 280 · Answer 1 · 2026-04-13 14:16:15

280

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Derive the formula for the sum of the first $n$ squares using derivatives and integrals

Published on 13 Apr 2026 - 14:16

score 48 · Answer 2 · 2026-04-14 12:56:17

48

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Summation of numbers $ (n+1)(n+2)\cdots(n+m)$ over $n$

Published on 14 Apr 2026 - 12:56

score 2.1k · Answer 3 · 2026-03-25 09:27:09

2.1k

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Prove that $\sum \limits_{d|n}(n/d)\sigma(d) = \sum \limits_{d|n}d\tau(d)$

Published on 25 Mar 2026 - 9:27

score 380 · Answer 4 · 2026-04-15 07:51:19

380

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Is there any closed form for the finite sum $1+\frac12+\frac13+\frac14+\dots+\frac1n?$

Published on 15 Apr 2026 - 7:51

score 6.2k · Answer 5 · 2026-04-12 19:57:15

6.2k

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How to derive the closed form of the sum of $kr^k$

Published on 12 Apr 2026 - 19:57

score 115 · Answer 6 · 2026-04-16 04:35:56

115

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Induction proof for $ \sum\limits_{i=1}^n i^22^i = n^22^{n+1}-n2^{n+2}+3 \cdot2^{n+1}-6 $

Published on 16 Apr 2026 - 4:35

score 322 · Answer 7 · 2026-04-16 03:52:33

322

Views

What is the infinite sum of $a^{b^x}$?

Published on 16 Apr 2026 - 3:52

score 420 · Answer 8 · 2026-04-12 03:36:10

420

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Closed form for sum of constant to the power of a quadratic polynomial in the index variable.

Published on 12 Apr 2026 - 3:36

score 8.4k · Answer 9 · 2026-04-12 20:52:30

8.4k

Views

Double summation index meaning

Published on 12 Apr 2026 - 20:52

score 141 · Answer 10 · 2026-04-10 16:59:36

141

Views

How to make an expression manifestly symmetric

Published on 10 Apr 2026 - 16:59

score 88 · Answer 11 · 2026-03-25 06:01:16

88

Views

Closed form for estimated sum with different asymptotic bounds?

Published on 25 Mar 2026 - 6:01

score 1.5k · Answer 12 · 2026-04-12 09:42:17

1.5k

Views

How to find the approximate basic period or GCD of a list of numbers?

Published on 12 Apr 2026 - 9:42

score 1.2k · Answer 13 · 2026-04-12 00:40:45

1.2k

Views

Index of Summation Shift? Power Series and Differential Equations

Published on 12 Apr 2026 - 0:40

score 114 · Answer 14 · 2026-04-11 08:52:35

114

Views

Sum of a series problem involving cubes

Published on 11 Apr 2026 - 8:52

score 302 · Answer 15 · 2026-04-11 10:04:24

302

Views

How to evaluate the finite sum $\sum_{k=0}^n{\alpha \choose k}^2\lambda^k$

Published on 11 Apr 2026 - 10:04

List Question

Derive the formula for the sum of the first $n$ squares using derivatives and integrals

Summation of numbers $ (n+1)(n+2)\cdots(n+m)$ over $n$

Prove that $\sum \limits_{d|n}(n/d)\sigma(d) = \sum \limits_{d|n}d\tau(d)$

Is there any closed form for the finite sum $1+\frac12+\frac13+\frac14+\dots+\frac1n?$

How to derive the closed form of the sum of $kr^k$

Induction proof for $ \sum\limits_{i=1}^n i^22^i = n^22^{n+1}-n2^{n+2}+3 \cdot2^{n+1}-6 $

What is the infinite sum of $a^{b^x}$?

Closed form for sum of constant to the power of a quadratic polynomial in the index variable.

Double summation index meaning

How to make an expression manifestly symmetric

Closed form for estimated sum with different asymptotic bounds?

How to find the approximate basic period or GCD of a list of numbers?

Index of Summation Shift? Power Series and Differential Equations

Sum of a series problem involving cubes

How to evaluate the finite sum $\sum_{k=0}^n{\alpha \choose k}^2\lambda^k$

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