SOLUTION: Find the sum of this infinite geometric series: 54 + 18 + 6 + 2 + . . .
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Question 1086936: Find the sum of this infinite geometric series: 54 + 18 + 6 + 2 + . . .
Found 2 solutions by Fombitz, htmentor:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
If |r| < 1, the sum of the infinite series can be computed.
In this case r = 18/54 = 1/3
The sum of an infinite geometric series is S = a/(1-r), where a = the 1st term
So S = 54/(1-1/3) = (3/2)54 = 81
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