Not Limiting a Sum

Algebra Level 4

α,β\alpha, \beta are the roots of 375x225x2=0375x^2-25x-2=0 . Denote Sn=αn+βn S_n = \alpha^n+\beta^n , and if the summation below is in the form of ab \frac a b where a,ba,b are coprime positive integers. Find the value of a+ba+b.

n=1Sn\large \displaystyle \sum_{n=1}^\infty S_n

×

Problem Loading...

Note Loading...

Set Loading...