SOLUTION: For the sequence 1/3, 1/3^2, 1/3^3, 1/3^4, 1/3^5,..., find its fifth partial sum and its sixth partial sum. Help would be appreciated, thanks!

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Question 933251: For the sequence 1/3, 1/3^2, 1/3^3, 1/3^4, 1/3^5,..., find its fifth partial sum and its sixth partial sum.
Help would be appreciated, thanks!
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Each term of 
1/3, 1/3^2, 1/3^3, 1/3^4, 1/3^5, ...
is in the form where and


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Geometric series nth partial sum formula.


Plug in











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Fifth Partial Sum (n = 5)

















The fifth partial sum is which is approximately (I'd stick to the exact answer whenever you can)


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Sixth Partial Sum (n = 6)

















The sixth partial sum is exactly which is approximately


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