Find the number of terms in each series, the first term, and the last term. Then evaluate the sum. \sum _{n=1}^3\left(17n-25\right)

1 answer

There are 3 terms in the series. The first term is found by plugging in n=1:

17(1) - 25 = -8

The last term is found by plugging in n=3:

17(3) - 25 = 26

To find the sum, we add up all three terms:

-8 + (17(2) - 25) + (17(3) - 25)

Simplifying:

-8 + 9 + 26 = 27

Therefore, the series has 3 terms, with a first term of -8, a last term of 26, and a sum of 27.