Question

Rút gọn:A=1+2+2²+...+2¹⁰⁰

 

 

Answer 1

Sao rút gọn được????

Answer 2

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

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

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

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

Answer 3

\(A=1+2+2^2+...+2^{99}+2^{100}\)

\(2A=2+2^2+2^3+...+2^{100}+2^{101}\)

\(2A-A=\left(2+2^2+2^3+...+2^{100}+2^{101}\right)-\left(1+2+2^2+...+2^{99}+2^{100}\right)\)

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

Answer 4

làm z à, em cảm ơn

Answer 5

Ta có:2A=2+2²+2³+...+2¹⁰¹

       2A-A=(2+2²+2³+...+2¹⁰¹)-(1+2+2²+...+2¹⁰⁰)

       A=2¹⁰¹-1

Vậy A=2¹⁰¹-1