Question

Induction proof I'm having trouble with: $1+x+x^2+x^3+...+x^n = \frac{1-x^{n+1}}{1-x}$

score 136 · Answer 1 · 2015-10-19 23:04:43

136

Views

Induction proof I'm having trouble with: $1+x+x^2+x^3+...+x^n = \frac{1-x^{n+1}}{1-x}$

Published on 19 Oct 2015 - 23:04

score 42 · Answer 2 · 2026-04-09 17:29:39

42

Views

Proof by induction for inequality

Published on 09 Apr 2026 - 17:29

score 2.1k · Answer 3 · 2026-04-16 04:52:52

2.1k

Views

Proving that $64$ divides $3^{2n+2}+56n+55$ by induction

Published on 16 Apr 2026 - 4:52

score 1.9k · Answer 4 · 2026-04-01 18:58:44

1.9k

Views

Trees with no vertex of degree 2 have more leaves than internal nodes

Published on 01 Apr 2026 - 18:58

score 481 · Answer 5 · 2026-04-11 22:22:47

481

Views

Prove if $f$ is class $C^r$, then $f^{-1}$ is of class $C^r$

Published on 11 Apr 2026 - 22:22

score 215 · Answer 6 · 2026-04-12 18:05:36

215

Views

Recursive/Strong Induction

Published on 12 Apr 2026 - 18:05

score 3.3k · Answer 7 · 2026-05-04 18:10:07

3.3k

Views

Proving a closed-form recurrence by induction

Published on 04 May 2026 - 18:10

score 98 · Answer 8 · 2015-10-20 23:29:37

98

Views

Proof by induction: $ 2^n \ge n^2$ for $n\ge4$

Published on 20 Oct 2015 - 23:29

score 608 · Answer 9 · 2015-10-21 11:26:20

608

Views

Prove by induction $\sum _{i=1}^n\left(-1\right)^{i+1}\:\binom{n}{i}\:\frac{1}{i}=1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{n}$

Published on 21 Oct 2015 - 11:26

score 78 · Answer 10 · 2015-10-21 12:51:19

78

Views

Proving some identities in the set of natural numbers without using induction...

Published on 21 Oct 2015 - 12:51

score 265 · Answer 11 · 2026-04-12 12:22:56

265

Views

upper bound of a double sequence

Published on 12 Apr 2026 - 12:22

score 132 · Answer 12 · 2026-04-16 14:02:41

132

Views

Proof by induction $\frac{1}{1^2} + \frac{1}{2^2} + \cdots + \frac{1}{n^2} < 2$

Published on 16 Apr 2026 - 14:02

score 822 · Answer 13 · 2026-04-23 17:10:46

822

Views

Induction proof fibonacci numbers

Published on 23 Apr 2026 - 17:10

score 231 · Answer 14 · 2026-04-12 11:48:30

231

Views

Expand the summation (university)

Published on 12 Apr 2026 - 11:48

score 113 · Answer 15 · 2026-04-14 03:51:25

113

Views

Prove recurrence relation using mathematical induction

Published on 14 Apr 2026 - 3:51

List Question

Induction proof I'm having trouble with: $1+x+x^2+x^3+...+x^n = \frac{1-x^{n+1}}{1-x}$

Proof by induction for inequality

Proving that $64$ divides $3^{2n+2}+56n+55$ by induction

Trees with no vertex of degree 2 have more leaves than internal nodes

Prove if $f$ is class $C^r$, then $f^{-1}$ is of class $C^r$

Recursive/Strong Induction

Proving a closed-form recurrence by induction

Proof by induction: $ 2^n \ge n^2$ for $n\ge4$

Prove by induction $\sum _{i=1}^n\left(-1\right)^{i+1}\:\binom{n}{i}\:\frac{1}{i}=1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{n}$

Proving some identities in the set of natural numbers without using induction...

upper bound of a double sequence

Proof by induction $\frac{1}{1^2} + \frac{1}{2^2} + \cdots + \frac{1}{n^2} < 2$

Induction proof fibonacci numbers

Expand the summation (university)

Prove recurrence relation using mathematical induction

Trending Questions

Popular # Hahtags

Popular Questions