Thread: finding value of summation of infinite series

summation from k=0 to infinity of (3^(k-1))/(4^(3k+1)).

Using the seq( and sum( functions on my calculator I get 16/183, but how do I do this without using a calculator.

I wrote out the first few terms but nothing seemed to cross out.

Thanks.

Originally Posted by WartonMorton

summation from k=0 to infinity of (3^(k-1))/(4^(3k+1)).

Using the seq( and sum( functions on my calculator I get 16/183, but how do I do this without using a calculator.

I wrote out the first few terms but nothing seemed to cross out.

Thanks.

Note that the thing you're summing can be written as .