Question

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

Answer 1

0.75.

Explanation:

The common ratio = -1/3 and the first term = (-1/3)^0 = 1.

Sum to infinity = 1 / (1 - (-1/3))

= 1 / 4/3

= 3/4

= 0.75.

Answer 2

3/4

Explanation:

a1 = (-1/3)^0 = 1

r = -1/3

Hence S = 1/(1+1/3) = 1/(4/3) = 3/4