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Sagot :
If the number of the terms will be 14. Then the sum of the series will be 595.
The complete question is given below.
Find the sum of each arithmetic series described or shown below. The sum of multiples of five from 10 to 75, inclusive.
What are sequence and series?
A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
First term (a₁) = 10
Common difference (d) = 5
If the nth term is 75, then the number of the terms will be
75 = 10 + (n - 1)5
65 = (n - 1)5
13 = n - 1
n = 14
Then the sum of the series will be
S = a₁ x n + [n (n - 1)d] / 2
S = 10 x 14 + 14 x 13 x 5 / 2
S = 140 + 455
S = 595
More about the series link is given below.
https://brainly.com/question/10813422
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