Summation and Summation

Calculus Level 3

Let

f(s)=n=01snf(s) = \displaystyle \sum_{n=0}^\infty \frac {1}{s^n}.

If the value of

s=210f(s)\displaystyle \sum_{s=2}^{10} f(s)

can be represented as AB\frac {A}{B} where AA and BB are positive, coprime integers, find the value of A+BA + B.

×

Problem Loading...

Note Loading...

Set Loading...