Question

use the principle of mathematical induction to prove the statement for all n € N : 2+2²+2³+.....+2^n = 2(2^n - 1)​

Answer 1

ANSWER

By the principle of Mathematical induction, prove that, for n≥1.

1

2

+2

2

+3

2

+⋯+n

2

>

3

n

3

.