Question

Use the formula to evaluate the infinite series. Round to the nearest hundreth if necessary.

Answer 1

4

Explanation:

The first term is the value of the term when n=1. It is 3. The common ratio is is the value being raised to the power of (n-1). It is 1/4. Put these numbers into the formula and do the arithmetic

S = 3/(1 -1/4) = 3/(3/4) = 3·4/3 = 4

The sum is 4.