Question

ai giúp e với ạ ;0

Answer 1

\(A=2^2-2^3+2^4-...-2^{99}+2^{100}\)

\(\Leftrightarrow2\cdot A=2^3-2^4+2^5-...-2^{100}+2^{101}\)

\(\Leftrightarrow A=2^{101}-4\)

\(S=3+A=2^{101}-1\)