SOLUTION: I need to find the sum of the following infinite series: ∑[n-0,∞,1/4^n]
(The n-0 is below the ∑, and the ∞ is above. The 1/4^n is one the right side of the
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-> SOLUTION: I need to find the sum of the following infinite series: ∑[n-0,∞,1/4^n]
(The n-0 is below the ∑, and the ∞ is above. The 1/4^n is one the right side of the
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Question 742212: I need to find the sum of the following infinite series: ∑[n-0,∞,1/4^n]
(The n-0 is below the ∑, and the ∞ is above. The 1/4^n is one the right side of the ∑)
Thanks! Found 2 solutions by lynnlo, ikleyn:Answer by lynnlo(4176) (Show Source):
You can put this solution on YOUR website! .
I need to find the sum of the following infinite series: ∑[n-0,∞,1/4^n]
(The n-0 is below the ∑, and the ∞ is above. The 1/4^n is one the right side of the ∑)
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This problem is to find the sum of the infinite geometric progression
having the first term 1 = and the common ratio .
The general formula is S = , where 'a' is the first term of a GP,
and 'r' is the common ratio.
For this problem, the sum is S = = = .
ANSWER. S = .
(