Question

Answer 1

`=> 2M = 2.(1 + 2 +... + 2^99)`

`= 2 + 2^2 + ... + 2^100`.

`=> 2M - M = (2 + ... + 2^100) - (1 + ... + 2^99)`

`=> M = 2^100 - 1 < 2^100`.

Answer 2

`M=1+2+...+2^99`

`=>2M=2+2^2 +...+2^100`

`=>2M-M=(2+2^2 +...+2^100)-(1+2+...+2^99)`

`=>M=2+2^2 +...+2^100-1+2+...+2^99`

`=>M=2^100 -1`

Vì `2^100 -1 < 2^100 =>M<2^100`

Answer 3

cảm ơn nhiều ạ :3