Question

[Koharu]

Tính giá trị biểu thức:

H = 2 + 2² + 2³ + 2⁴ + . . . + 2¹⁰⁰

Answer 1

[Vương Thị Diễm Quỳnh]

\(=>2H=2^2+2^3+2^4+...+2^{101}\)

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

Answer 2

[Sherlockichi Kazukosho]

\(H=2+2^2+2^3+2^4+2^{100.}\)

\(H=2^{1+2+3+4+...+100}\)

\(H=2^{100-1+1}\)

\(H=2^{100}\)