could someone try to explain how to go about this process? i can find the sum of a series with no problem, i can find the equation for that, but i am completely lost as to how to create a formula to find the nth partial sum.
so given this sequence of numbers:
2+ 2/3 + 2/9 + 2/27 + .... how do i find the formula for the nth partial sum?
Well, I could be wrong here, but looks to me that you're series is going
Then the sum for the nth would be
(by taking the factor 2 outside of the summation)
Then the above is a geometric series
ie (I think that's correct but I can't remember the exact formula for a geometric summing series)
Edit: beaten to it