Question

M = 2²⁰¹⁶ + 2²⁰¹⁵ + 2²⁰¹⁴ +.........+ 2² + 2 + 1 = ?

Answer 1

M = 2²⁰¹⁶ + 2²⁰¹⁵ + 2²⁰¹⁴ +.....+ 2² + 2 + 1

2A = 2²⁰¹⁷ + 2²⁰¹⁶ + 2²⁰¹⁵ +.....+ 2³ + 2² + 2

=> 2A - A = 2²⁰¹⁷ - 1

=> A = 2²⁰¹⁷ - 1

Answer 2

2M= 2²⁰¹⁷ + 2²⁰¹⁶ + 2²⁰¹⁵ +.......+ 2³ + 2² + 2

=> 2M - M = 2²⁰¹⁷ + 2²⁰¹⁶ + 2²⁰¹⁵ +.......+ 2³ + 2² + 2 - (2²⁰¹⁶ + 2²⁰¹⁵ + 2²⁰¹⁴ +.......+ 2² + 2 + 1)

=> M = 2²⁰¹⁷ + 2²⁰¹⁶ + 2²⁰¹⁵ +.......+ 2³ + 2² + 2 - 2²⁰¹⁶ - 2²⁰¹⁵ - 2²⁰¹⁴ -.......- 2² - 2 - 1

=> M = 2²⁰¹⁷ -1

Answer 3

ta có : M=2²⁰¹⁶+2²⁰¹⁵+2²⁰¹⁴+...+2²+2+1

=> 2M=2²⁰¹⁷+2²⁰¹⁶ +2²⁰¹⁵+...+2³+2²+2

=>2M-M=(2²⁰¹⁷+2²⁰¹⁶ +2²⁰¹⁵+...+2³+2²+2)-(2²⁰¹⁶+2²⁰¹⁵+2²⁰¹⁴+...+2²+2+1)

=> M= 2²⁰¹⁷-1

Answer 4

K=\(2^{2016}-\left(2^{2015}+2^{2014}+2^{2013}+...+2^1+2^0\right)\)

Answer 5

Nguyễn Công Tín sai đề r bạn.