Question

M = 2²⁰¹⁰ - (2²⁰⁰⁹ + 2²⁰⁰⁸ + ..... + 2² + 2¹ + 2⁰) 
Neu cach tinh

Answer 1

\(M=2^{2010}-\left(2^{2009}+2^{2008}+...+2^2+2^1+2^0\right)\)

\(2^{2010}-M=2^0+2^1+2^2+...+2^{2008}+2^{2009}\)

\(2\left(2^{2010}-M\right)=2+2^2+2^3+...+2^{2009}+2^{2010}\)

\(2\left(2^{2010}-M\right)-\left(2^{2010}-M\right)=\left(2+2^2+2^3+...+2^{2009}+2^{2010}\right)-\left(2^0+2^1+2^2+...+2^{2008}+2^{2009}\right)\)

\(2^{2010}-M=2^{2010}-1\)

\(M=2^{2010}-2^{2010}+1\)

\(M=1\)

Answer 2

ban co the giai thich cho minh vai cho duoc ko