SOLUTION: Find the sum of an infinite geometric series where a1 = 180, and the common ratio is r = 3∕4 ?

Question 1205650: Find the sum of an infinite geometric series where a1 = 180, and the common ratio is r = 3∕4 ?

Found 2 solutions by math_tutor2020, ikleyn:
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

a = 180 = first term
r = 3/4 = 0.75 = common ratio

Since -1 < r < 1 is true when r = 0.75, we can use the infinite geometric sum formula shown below.
S = a/(1 - r)
S = 180/(1 - 0.75)
S = 720

Answer: 720

Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
.
Find the sum of an infinite geometric series where a1 = 180, and the common ratio is r = 3∕4
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This sum is equal to = = = 4*180 = 720. ANSWER

Solved.

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