Câu hỏi của Yêu Là Hận

Question

A= 1+2 mũ 2+2 mũ 3 +...+2 mũ 100

Tính tổng

kudo shinichi · Accepted Answer

$A=1+2^2+2^3+...+2^{100}$

$2A=2+2^3+2^4+...+2^{101}$

$2A-A=\left(2+2^3+2^4+...+2^{101}\right)-\left(1+2^2+2^3+...+2^{100}\right)$

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

B tự tính A nhé

Câu trả lời:

$A=1+2^2+2^3+...+2^{100}$

$2A=2+2^3+2^4+...+2^{101}$

$2A-A=\left(2+2^3+2^4+...+2^{101}\right)-\left(1+2^2+2^3+...+2^{100}\right)$

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

B tự tính A nhé

Trần Thanh Phương · Answer

$2A=2+2^3+2^4+...+2^{101}$

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

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

$A=2+2^{101}-5$

$A=2^{101}-3$

Câu trả lời:

$2A=2+2^3+2^4+...+2^{101}$

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

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

$A=2+2^{101}-5$

$A=2^{101}-3$