Question

Answer the following questions for each geometric
series.
Infinite sum
S=a1/1-r,(for lrl <1)

10 + 1 + 0.1 +0.01 +...

Answer 1

Answer:

10

0.1

100/9,11.111

1500

Answer 2

Answer:

The sum of this series=11.11

Step-by-step explanation:

Definition of geometric series  

A geometric series is the sum of an infinite number of terms with a constant ratio between them in mathematics.

Formula of infinite geometric sum

$S=a1/1-r,(for lrl < 1)$

and given series

$10 + 1 + 0.1 +0.01 +...$...

where

a=10 and r=0.1

by putting these values in above formula

$S=10/(1-0.1)\\=11.11$

Hence the sum of given series= 11.11

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