An infnite sum

Calculus Level 2

Determine the sum ∑ n = 1 ∞ 1 5 n − 1 ( 1 4 ) 2 n . \sum_{n=1}^{\infty} 15 ^{n-1} \left(\frac{1}{4}\right)^{2n}.

15 16 \frac{15}{16} 1 1 4 \frac{1}{4} 15 4 \frac{15}{4}

View wiki
Mahindra Jain by Mahindra Jain

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Shubham Poddar
May 1, 2014

THE SERIES IS (1/4)^2+15 (1/4)^4+.... WHICH IS A GEOMETRIC SERIES WITH COMMON RATIO 15 (1/4)^2. HENCE THE SUM IS 1 BY THE FORMULAE S=a/(1-r).

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...