hppichic33 hppichic33
  • 23-05-2022
  • Mathematics
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Please help

Find the sum of the given infinite geometric series

Please help Find the sum of the given infinite geometric series class=

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goddessboi goddessboi
  • 23-05-2022

Answer:

A) [tex]33.66[/tex]

Step-by-step explanation:

The sum of an infinite geometric series in the form of [tex]\displaystyle \sum_{n=0}^\infty ar^n[/tex] is equivalent to [tex]\displaystyle S_{\infty}=\frac{a_1}{1-r}[/tex] where [tex]r[/tex] is the common ratio and [tex]a_1[/tex] is the first term.

Hence, [tex]\displaystyle S_{\infty}=\frac{a_1}{1-r}=\frac{34}{1-(-0.01)}=\frac{34}{1.01}\approx33.66[/tex]

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