Question

So Sánh

A = \(\frac{1}{2!}+\frac{2}{3!}+.....+\frac{2015}{2016!}\)

B = 1,02015

Answer 1

A = 1/2! + 2/3! + 3/4! + ... + 2015/2016!

A = 2/2! - 1/2! + 3/3! - 1/3! + 4/4! - 1/4! + ... + 2016/2016! - 1/2016!

A = 1 - 1/2! + 1/2! - 1/3! + 1/3! - 1/4! + ... + 1/2015! - 1/2016!

A = 1 - 1/2016! < 1 < B

=> A < B

Answer 2

cảm ơn bạn nha

Answer 3

Ta có:

16² + 4²²

= (2⁴)¹² + (2²)²²

= 2⁴⁸ + 2⁴⁴

= 2⁴⁴.(2⁴ + 1)

= 2⁴⁴.(16 + 1)

= 2⁴⁴.17 chia hết cho 17

=> đpcm