Question

Is there a formula to calculate the following sum?

score 72 · Answer 1 · 2026-04-09 09:59:41

72

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Is there a formula to calculate the following sum?

Published on 09 Apr 2026 - 9:59

score 291 · Answer 2 · 2026-04-15 18:02:34

291

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If $\sum_{i = 1}^n a_i b_i = \sum_{i = 1}^n a_i^2 = \sum_{i = 1}^n b_i^2$, then $a_i = b_i$ for all $i$.

Published on 15 Apr 2026 - 18:02

score 475 · Answer 3 · 2026-04-15 02:42:08

475

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Is there a closed form expression for the following lower and upper Riemann Sums?

Published on 15 Apr 2026 - 2:42

score 116 · Answer 4 · 2026-04-13 19:53:49

116

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How to show this binomial equality is true/not: $\sum _{k=1}^m2^{2k-1}\binom{n}{2k-1}=\sum _{k=1}^m 2^{2k}\binom{n}{2k}$

Published on 13 Apr 2026 - 19:53

score 163 · Answer 5 · 2026-04-17 08:14:11

163

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Sequences of length $4n$ with $2n$ ones and $2n$ zeroes with one constraint.

Published on 17 Apr 2026 - 8:14

score 38 · Answer 6 · 2026-04-11 07:11:17

38

Views

How was this summation subtracted?

Published on 11 Apr 2026 - 7:11

score 748 · Answer 7 · 2026-04-15 18:56:43

748

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Find the closed formula for $\sum_{i=0}^n a^{n-i} \cdot b^i$

Published on 15 Apr 2026 - 18:56

score 1.5k · Answer 8 · 2026-04-28 09:50:38

1.5k

Views

Absolute differences between vectors

Published on 28 Apr 2026 - 9:50

score 1.2k · Answer 9 · 2026-04-11 02:17:44

1.2k

Views

Pairwise sum and divide

Published on 11 Apr 2026 - 2:17

score 1.4k · Answer 10 · 2026-04-17 11:52:02

Proof about floor function: $\lfloor x\rfloor+\lfloor x + \frac{1}{n} \rfloor+\cdots + \lfloor x + \frac{(n-1)}{n} \rfloor = \lfloor nx \rfloor$

score 113 · Answer 11 · 2026-04-12 23:51:48

113

Views

Is there an analytic way to calculate $\sum_{i=1}^n |\frac{n}{2}-i|$

Published on 12 Apr 2026 - 23:51

score 133 · Answer 12 · 2026-04-22 14:31:28

133

Views

Reasoning about finite sums

Published on 22 Apr 2026 - 14:31

score 76 · Answer 13 · 2026-04-12 18:24:24

76

Views

Smallest $n$ such that $H_{n,2^{-1}} \geq n$ where $H_{n,2^{-1}}$ are generalized Harmonic numbers

Published on 12 Apr 2026 - 18:24

score 476 · Answer 14 · 2026-04-14 10:44:23

476

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Product of a Multinomial done using Multinomial Theorem?

Published on 14 Apr 2026 - 10:44

score 582 · Answer 15 · 2026-04-10 00:20:12

582

Views

Closed form expression for the following sum

Published on 10 Apr 2026 - 0:20

List Question

Is there a formula to calculate the following sum?

If $\sum_{i = 1}^n a_i b_i = \sum_{i = 1}^n a_i^2 = \sum_{i = 1}^n b_i^2$, then $a_i = b_i$ for all $i$.

Is there a closed form expression for the following lower and upper Riemann Sums?

How to show this binomial equality is true/not: $\sum _{k=1}^m2^{2k-1}\binom{n}{2k-1}=\sum _{k=1}^m 2^{2k}\binom{n}{2k}$

Sequences of length $4n$ with $2n$ ones and $2n$ zeroes with one constraint.

How was this summation subtracted?

Find the closed formula for $\sum_{i=0}^n a^{n-i} \cdot b^i$

Absolute differences between vectors

Pairwise sum and divide

Proof about floor function: $\lfloor x\rfloor+\lfloor x + \frac{1}{n} \rfloor+\cdots + \lfloor x + \frac{(n-1)}{n} \rfloor = \lfloor nx \rfloor$

Is there an analytic way to calculate $\sum_{i=1}^n |\frac{n}{2}-i|$

Reasoning about finite sums

Smallest $n$ such that $H_{n,2^{-1}} \geq n$ where $H_{n,2^{-1}}$ are generalized Harmonic numbers

Product of a Multinomial done using Multinomial Theorem?

Closed form expression for the following sum

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