Question

Prove that this iteration cuts a rational number in two irrationals $\sum_{n=0}^\infty \frac{1}{q_n^2-p_n q_n+1}+\lim_{n \to \infty} \frac{p_n}{q_n}$

score 217 · Answer 1 · 2026-04-17 06:18:20

217

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Prove that this iteration cuts a rational number in two irrationals $\sum_{n=0}^\infty \frac{1}{q_n^2-p_n q_n+1}+\lim_{n \to \infty} \frac{p_n}{q_n}$

Published on 17 Apr 2026 - 6:18

score 275 · Answer 2 · 2026-04-08 18:33:16

275

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How to solve iterative method

Published on 08 Apr 2026 - 18:33

score 692 · Answer 3 · 2026-04-16 13:05:40

692

Views

Prove $a_n = n 3^{n-1}$, recurrence relation.

Published on 16 Apr 2026 - 13:05

score 46 · Answer 4 · 2026-04-09 15:30:52

46

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System of recurrences

Published on 09 Apr 2026 - 15:30

score 46 · Answer 5 · 2026-04-15 22:39:25

46

Views

Uniform bound from a recurrence relation $a_n^2 \leq C_1a_na_{n-1} + C_2a_{n-1} + C_3a_n$

Published on 15 Apr 2026 - 22:39

score 621 · Answer 6 · 2026-04-17 07:50:10

621

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Recurrence for the running time of a recursive version of insertion sort

Published on 17 Apr 2026 - 7:50

score 159 · Answer 7 · 2026-04-13 08:48:57

159

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How to get an upper bound for the number of leaves of a recursion tree from a recurrence relation

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score 82 · Answer 8 · 2026-04-15 18:41:44

82

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how to solve this recursive equation $a_{n+2}=n(a_{n+1}-xa_n)$

Published on 15 Apr 2026 - 18:41

score 87 · Answer 9 · 2026-04-12 14:22:29

87

Views

Backwards and Forwards Recurrence Relation for a Definite Integral

Published on 12 Apr 2026 - 14:22

score 1.8k · Answer 10 · 2026-04-14 13:54:47

1.8k

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Recurrence relation for the number of ternary strings of length $ n$ with an even number of $0'$s

Published on 14 Apr 2026 - 13:54

score 225 · Answer 11 · 2026-04-14 03:34:20

225

Views

Solving linear recurrence with a single variable coefficient

Published on 14 Apr 2026 - 3:34

score 150 · Answer 12 · 2026-04-14 09:25:37

150

Views

Trying to understand the solution of the recurrence $9T(n/3) + n^2\log(n) + 2n$

Published on 14 Apr 2026 - 9:25

score 173 · Answer 13 · 2026-04-16 04:11:47

173

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How to calculate the coefficients of finite product $\prod\limits_{i=1}^n{(z^i-1)}$ effectively

Published on 16 Apr 2026 - 4:11

score 102 · Answer 14 · 2026-04-16 16:42:56

102

Views

How many ways can we divide line segment of length n into length 2 and 3 segments

Published on 16 Apr 2026 - 16:42

score 227 · Answer 15 · 2026-04-16 23:22:58

227

Views

Evaluate $\lim_{n\rightarrow\infty} \frac{a_n}{b_n}$

Published on 16 Apr 2026 - 23:22

List Question

Prove that this iteration cuts a rational number in two irrationals $\sum_{n=0}^\infty \frac{1}{q_n^2-p_n q_n+1}+\lim_{n \to \infty} \frac{p_n}{q_n}$

How to solve iterative method

Prove $a_n = n 3^{n-1}$, recurrence relation.

System of recurrences

Uniform bound from a recurrence relation $a_n^2 \leq C_1a_na_{n-1} + C_2a_{n-1} + C_3a_n$

Recurrence for the running time of a recursive version of insertion sort

How to get an upper bound for the number of leaves of a recursion tree from a recurrence relation

how to solve this recursive equation $a_{n+2}=n(a_{n+1}-xa_n)$

Backwards and Forwards Recurrence Relation for a Definite Integral

Recurrence relation for the number of ternary strings of length $ n$ with an even number of $0'$s

Solving linear recurrence with a single variable coefficient

Trying to understand the solution of the recurrence $9T(n/3) + n^2\log(n) + 2n$

How to calculate the coefficients of finite product $\prod\limits_{i=1}^n{(z^i-1)}$ effectively

How many ways can we divide line segment of length n into length 2 and 3 segments

Evaluate $\lim_{n\rightarrow\infty} \frac{a_n}{b_n}$

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