\(A=2+2^2+2^3+2^4+........+2^{600}\)
\(\Rightarrow2A=2^2+2^3+2^4+2^5+..........+2^{601}\)
\(\Rightarrow2A-A=2^{601}-2\)
\(\Rightarrow A=2^{601}-2\)
\(A=2^2+2^3+2^4+...+2^{600}\)
\(\Rightarrow2A=2^3+2^4+2^5+...+2^{601}\)
\(2A-A=\left(2^3+2^4+2^5+...+2^{601}\right)-\left(2^2+2^3+...+2^{600}\right)\)
\(\Leftrightarrow2A-A=A=2^{601}-2^2\)
Bài làm :
Ta có :
\(A=2+2^2+2^3+2^4+...+2^{600}\)
\(\Rightarrow2A=2^2+2^3+2^4+2^5+...+2^{601}\)
\(\Rightarrow2A-A=2^{601}-2\)
\(\Rightarrow A=2^{601}-2\)
Vậy A=2601 - 2