# How do I find the sum of the infinite series 1/2 + 1 + 2 + 4 +... ?

First of all, don' t hold your breath while counting an INFINITE set of numbers! This infinite Geometric sum has a first term of $\frac{1}{2}$ and a common ratio of 2. This means that each successive term is being doubled to get the next term. Adding the first few terms could be done in your head! (perhaps!) $\frac{1}{2} + 1 = \frac{3}{2}$ and $\frac{1}{2} + 1 + 2$ = 3$\frac{1}{2}$