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:

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 )

Answer 2

The sum of an infinite geometric series in which a = 34 and r = –0.05 will be 32.38.

What is the sum of the geometric series?

Let a be the first term and r be the common ratio. Then the sum of the geometric series will be

S = a / (1 – r) if r < 1

S = a / (r – 1) if r > 1

The sum of an infinite geometric series in which a = 34 and r = –0.05.

S = a / (1 – r) if r < -0.05

Then the sum will be

S = 34 / (1 – (-0.05))

S = 34 / 1.05

S = 32.38

More about the sum of the geometric series link is given below.

https://brainly.com/question/2771750

#SPJ2