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

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) (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

RELATED QUESTIONS
Direction: use one of the formulas for special series to find the sum of the series. 42 (answered by Edwin McCravy)

SOLUTION: how do i find the sum of this series? 25 is on top of the &#8721; symbol i=1 with (4i+1)