Use the formula to evaluate the infinite series. round your answer to the nearest hundredth if necessary. 72 + 12 + 2 + . .

To find the sum of an infinite series, use this following formula
S∞ = 
with S∞ as the sum of infinite series, a₁ as the first term of the series, and r as the ratio.

First, find the ratio of the series
The ratio can be defined using division of the nth term by the (n-1)th term. Or if you use a₂, the divisor will be a₍₂₋₁₎ = a₁
r = a₂/a₁
r = 
r = 
The ratio of the series is 1/6

Second, calculate the sum using the formula above.
S∞ = 

Plug in the numbers
S∞ = 

Write the division horizontally
S∞ = 72 ÷ 

1 can be written as 6/6
S∞ = 72 ÷ 
S∞ = 72 ÷ 

Change the division into multiplication
S∞ = 72 × 
S∞ = 
S∞ = 86.4
The sum of the series is 86.4

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