Question

Using induction to prove $\sum_{i = 1}^{n} i\cdot 2^i = (n - 1) \cdot 2^{n + 1} + 2$

score 123 · Answer 1 · 2018-10-03 00:00:01

123

Views

Using induction to prove $\sum_{i = 1}^{n} i\cdot 2^i = (n - 1) \cdot 2^{n + 1} + 2$

Published on 03 Oct 2018 - 0:00

score 71 · Answer 2 · 2026-03-26 06:17:42

71

Views

Inductive proof for recursive formula with multiple recursive references

Published on 26 Mar 2026 - 6:17

score 1.4k · Answer 3 · 2018-10-03 17:29:32

1.4k

Views

Use induction to prove that $n^ 2 > 5n − 7$ for all $n \in \mathbb{Z}, n ≥ 2$

Published on 03 Oct 2018 - 17:29

score 104 · Answer 4 · 2018-10-04 11:40:49

104

Views

$\forall n \ge 1, \sum _{i=1}^n \frac 1 {i^2} \le 2$ mathematical induction

Published on 04 Oct 2018 - 11:40

score 91 · Answer 5 · 2018-10-04 16:31:52

91

Views

Prove all derivatives of $f(x)=\frac{1}{1+x}$ by induction

Published on 04 Oct 2018 - 16:31

score 69 · Answer 6 · 2018-10-04 18:45:44

69

Views

Can anyone help me with this induction proof?

Published on 04 Oct 2018 - 18:45

score 564 · Answer 7 · 2018-10-04 23:17:31

564

Views

Proof by induction on an uncountable interval

Published on 04 Oct 2018 - 23:17

score 93 · Answer 8 · 2018-10-05 12:25:22

93

Views

Prove by mathematical induction that $1^3+2^3+...n^3=1/4(n^2(n+1)^2)$

Published on 05 Oct 2018 - 12:25

score 52 · Answer 9 · 2026-03-28 06:10:22

52

Views

show that for $a \ge 2, n \ge a, (1 + \frac{1}{(n-a+1)/(a-1)})^{(n-a+1)/(a-1)} < e$

Published on 28 Mar 2026 - 6:10

score 54 · Answer 10 · 2018-10-05 18:28:43

54

Views

Stuck in my induction proof

Published on 05 Oct 2018 - 18:28

score 68 · Answer 11 · 2018-10-05 18:57:34

68

Views

Prove by induction $\sum_{i=1}^{n}i\cdot2^{i-1}=(n-1)\cdot2^n+1$

Published on 05 Oct 2018 - 18:57

score 112 · Answer 12 · 2018-10-05 20:27:15

112

Views

Mathematical induction exercises

Published on 05 Oct 2018 - 20:27

score 1k · Answer 13 · 2026-03-25 10:57:14

1k

Views

How to prove that for $n$ even and positive, the first player can guarantee a win?

Published on 25 Mar 2026 - 10:57

score 256 · Answer 14 · 2018-10-06 11:00:06

256

Views

Prove by induction that $1 \cdot 1!+2 \cdot 2!+\ldots+n \cdot n!=(n+1)!-1$

Published on 06 Oct 2018 - 11:00

score 149 · Answer 15 · 2026-03-27 01:44:35

149

Views

Prove that $n$ lines form $[n(n+1)/2]+1$

Published on 27 Mar 2026 - 1:44

List Question

Using induction to prove $\sum_{i = 1}^{n} i\cdot 2^i = (n - 1) \cdot 2^{n + 1} + 2$

Inductive proof for recursive formula with multiple recursive references

Use induction to prove that $n^ 2 > 5n − 7$ for all $n \in \mathbb{Z}, n ≥ 2$

$\forall n \ge 1, \sum _{i=1}^n \frac 1 {i^2} \le 2$ mathematical induction

Prove all derivatives of $f(x)=\frac{1}{1+x}$ by induction

Can anyone help me with this induction proof?

Proof by induction on an uncountable interval

Prove by mathematical induction that $1^3+2^3+...n^3=1/4(n^2(n+1)^2)$

show that for $a \ge 2, n \ge a, (1 + \frac{1}{(n-a+1)/(a-1)})^{(n-a+1)/(a-1)} < e$

Stuck in my induction proof

Prove by induction $\sum_{i=1}^{n}i\cdot2^{i-1}=(n-1)\cdot2^n+1$

Mathematical induction exercises

How to prove that for $n$ even and positive, the first player can guarantee a win?

Prove by induction that $1 \cdot 1!+2 \cdot 2!+\ldots+n \cdot n!=(n+1)!-1$

Prove that $n$ lines form $[n(n+1)/2]+1$

Trending Questions

Popular # Hahtags

Popular Questions