The given sum for n = 1 to n = 15 is equal to 255, so the correct option is B.
How to find the sum of the given series?
We want to find the sum of the series whose elements are of the form:
(2n + 1)
From n = 1 to n = 15.
Then our sum will be:
(2*1 + 1) + (2*2 + 1) + ... + (2*15 + 1).
3 + 5 + ... + 31
This is the sum of all odd numbers in the interval [3, 31]
Which gives:
[tex]S = 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 = 255[/tex]
So the correct option is B.
If you want to learn more about sums:
https://brainly.com/question/24295771
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