SOLUTION: how do i find the sum of this series? 25 is on top of the ∑ symbol i=1 with (4i+1)

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Question 187230: how do i find the sum of this series? 25 is on top of the ∑ symbol i=1 with (4i+1)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




This means to replace i in 4i + 1 with the integers from 1 to 25 and add up the results. So the first term is:



and the second term is:



and so on until you get to the last term which is:



Now you could do this the hard way, namely directly compute the sum:



But that method is long, arduous, and prone to error. Fortunately, there is a formula for the sum of any series of numbers:



Where a is the first element of the series, l is the last element of the series, and n is the number of elements. So for your problem:



You can do your own arithmetic.


John