Question

tính giá trị biểu thức: E=\(2016^2-2015^2+2014^2-2013^2+...+2^2-1^2\)

giúp mik vs mn, thanks

Answer 1

\(E=\left(2016-2015\right)\left(2016+2015\right)+\left(2014-2013\right)\left(2014+2013\right)+...+\left(2-1\right)\left(2+1\right)\\ E=2016+2015+2014+2013+...+2+1\\ E=\left(2016+1\right)\left(2016+1-1\right):2\\ E=2033136\)