Question

[Dương Văn Can]

Tính

A=3^2016 - 3^2015 + 3^2014 - 3^2013 + ......+ 3^2 - 3 + 1

B= 4^2016 - 4^2015 + 4^2014 - 4^2013 + ......+4^2 - 4 + 1

Answer 1

[Anh Trần]

=>3A= 3^2017-3^2016+3^2015-...-3^2+3

=>3A+A=4A=3^2017+1=>A=\(\frac{3^{2017}+1}{4}\)

B tương tự nha