Question

Find the sum of an infinite geometric series in which a1 = 34 and r = –0.05. Round to the nearest hundredth if necessary.

Answer 1

Answer:

32.38

Step-by-step explanation:

Sum to infinity = a1/(1 - r)

Sum to infinity = 34/(1 - (-0.05))

Sum to infinity = 34/1.05

;Therefore the sum of an infinite geometric series is...32.38

Answer 2

Answer:

32.38

Step-by-step explanation:

The sum to infinity of a geometric series is

S( infinity) = $\frac{a}{1-r}$ → | r | < 1

where a is the first term and r the common ratio

Here a = 34 and r = - 0.05, thus

S = $\frac{34}{1-(-0.05)}$

  = $\frac{34}{1.05}$ ≈ 32.38 ( to nearest hundredth )