Question

Tính Tổng:

A= 1+ 2 MŨ 2 +2 mũ 3+...+2 mũ 100

Answer 1

A = 1 + 2^2 + 2^3 + ...+ 2^100

=> 2A = 2 + 2^3+2^4 + ...+ 2^101

=> 2A-A = 2^101 + 2 - 1

A = 2^101 + 1

Answer 2

\(A=1+2^2+2^3+...+2^{100}\)

\(2A=2+2^3+...+2^{101}\)

\(2A-A=\left(2+2^3+...+2^{101}\right)-\left(1+2^2+...+2^{100}\right)\)

\(A=2+2^{101}-1-2^2\)

\(A=2^{101}-3\)

Answer 3

mk nhầm  xl bn nha

...

=> 2A-A = 2^101 + 2 - 1 -2^2

A = 2^101 + 2 - 1 - 4

A = 2^101 - 3