summation of infinity terms

Number Theory Level pending

If t ( n ) = k n t (n)= k^{n} , k k lies between -1 & 1, find the range of S ( ) S (\infty) , where S ( n ) S (n) is sum of n n terms of t ( n ) t (n)

depends on k real numbers -3 to 3 -1 to 1

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

Prince Loomba
Jun 1, 2015

S (infinity) = k/(1-k) (any real number)

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...