I love being inspired! 6

Calculus Level 5

12×2210+22×32102+32×42103+42×52104+\dfrac{1^2\times2^2}{10}+\dfrac{2^2\times3^2}{10^2}+\dfrac{3^2\times4^2}{10^3}+\dfrac{4^2\times5^2}{10^4}+\cdots

If the value of the series above is equal to AB \dfrac AB, where AA and BB are coprime positive integers, find A+BA+B.

if you think the series does not converge, submit your answer as 2016.

×

Problem Loading...

Note Loading...

Set Loading...