$\{a_1, a_2, a_3, ...\}$ is a non-constant arithmetic sequence, while both $a_1, a_2, a_6$ and $a_1, a_4$, an are finite geometric sequences. Find $n$

score 97 · Answer 11 · 2026-05-11 09:35:47

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Closed form for $\sum_{m\geq 2, n\geq 2}\frac1{m^n-1}$

Published on 11 May 2026 - 9:35

score 56 · Answer 12 · 2026-04-10 03:31:31

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Patterns in error terms while approximating a function with its Taylor/McLauren expansion

Published on 10 Apr 2026 - 3:31

score 829 · Answer 13 · 2026-05-10 16:13:28

Find the common ratio, if the sum of the first $8$ terms in a geometric progression is equal to $17$ times the sum of its first $4$ terms

score 1.5k · Answer 14 · 2026-04-15 07:59:57

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Determining the limit of $x_{n+1} = x_n + 1/(3 x_n^2)$

Published on 15 Apr 2026 - 7:59

score 413 · Answer 15 · 2026-05-07 12:50:24

413

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Finding limit from Squeeze theorem: $\lim\limits_{n\to\infty} \left(\frac{2n-5}{3n+1}\right)^n$

Published on 07 May 2026 - 12:50

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$\{a_1, a_2, a_3, ...\}$ is a non-constant arithmetic sequence, while both $a_1, a_2, a_6$ and $a_1, a_4$, an are finite geometric sequences. Find $n$

Closed form for $\sum_{m\geq 2, n\geq 2}\frac1{m^n-1}$

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Find the common ratio, if the sum of the first $8$ terms in a geometric progression is equal to $17$ times the sum of its first $4$ terms

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