Question

Recurrence relation $T(n) = T(n-1)+\frac 1n$

score 78 · Answer 1 · 2026-03-25 04:40:40

78

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Recurrence relation $T(n) = T(n-1)+\frac 1n$

Published on 25 Mar 2026 - 4:40

score 2.2k · Answer 2 · 2018-04-30 11:41:49

2.2k

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How do I find an explicit formula, using backtracking, for $C_n =3C_{n-1} -2C_{n-2}$ with initial values $C_1=5$ and $C_2=3$?

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score 58 · Answer 3 · 2018-04-30 14:44:15

58

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score 56 · Answer 4 · 2018-04-30 16:00:46

56

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score 59 · Answer 5 · 2018-05-01 06:13:55

59

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Show that $u_{n+1}=6u_n-4u_{n-1}$ if $u_n=(3+\sqrt{5})^n+(3-\sqrt{5})^n$ for $n=1,2,...$

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score 249 · Answer 6 · 2026-03-26 06:03:06

249

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score 1.9k · Answer 8 · 2018-05-02 19:48:34

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Express the sequence $\{x_n\}$ where $x_n = 2x_{n-1} + 3x_{n-2}$ in terms of ${x_0, x_1, n}$

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score 306 · Answer 9 · 2018-05-02 20:36:47

306

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score 325 · Answer 10 · 2026-03-25 01:17:25

325

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score 78 · Answer 11 · 2026-03-25 06:04:17

78

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score 63 · Answer 12 · 2026-03-25 04:43:50

63

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Closed form estimation for f(n) in the recursive formula $f(x+1)=f(x)+{1 \over f(x)}$

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score 144 · Answer 13 · 2026-03-26 04:36:48

144

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score 32 · Answer 14 · 2018-05-05 07:53:49

32

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score 255 · Answer 15 · 2018-05-07 03:25:03

255

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Published on 07 May 2018 - 3:25

List Question

Recurrence relation $T(n) = T(n-1)+\frac 1n$

How do I find an explicit formula, using backtracking, for $C_n =3C_{n-1} -2C_{n-2}$ with initial values $C_1=5$ and $C_2=3$?

Linear Recurrences and Sequence

Solving a recurrence equation with sum

Show that $u_{n+1}=6u_n-4u_{n-1}$ if $u_n=(3+\sqrt{5})^n+(3-\sqrt{5})^n$ for $n=1,2,...$

Generating function and binomial coefficient

How to classify recurrence equations?

Express the sequence $\{x_n\}$ where $x_n = 2x_{n-1} + 3x_{n-2}$ in terms of ${x_0, x_1, n}$

Particular solution of nonhomogenous recurrence relations

Explaining recurrence for number of no-leaf subgraphs in $2 \times n$ grid.

What is the behavior of this family of iterative sequences?

Closed form estimation for f(n) in the recursive formula $f(x+1)=f(x)+{1 \over f(x)}$

How to find the generating function of one recurrence relation in terms of that of another

Bounds on a limit related to the Euclid numbers

Solving recurrence relation involving reciprocal $\frac1{r(n)}=P(n)+r(n-1)$

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