Respuesta :
The sum of the given series 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40 will be 286.
What is a series?
A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
The series is given below.
4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40
Then the sum of the series will be
[tex]\rm S = \dfrac{n}{2}(a + L)[/tex]
where n is the total number of the terms, a is the first term, and L is the last term. Then we have
a = 4
L = 40
n = 13
Then
[tex]\rm S = \dfrac{13}{2}(4 + 40)\\\\S = \dfrac{13}{2} \times 44\\\\S = 13 \times 22\\\\S = 286[/tex]
More about the series link is given below.
Series - https://brainly.com/question/10813422
