Respuesta :

The sum of the arithmetic series 6 8 10 12 14 16 18 20 22 24 26 is 176

How to determine the sum of the series?

The series is given as:

6 8 10 12 14 16 18 20 22 24 26

The above series is an arithmetic series with the following parameters:

First term, a = 6

Last term, L = 26

Number of terms, n = 11

The sum of the series is calculated using:

[tex]S_n= \frac{n}{2} *(a + L)[/tex]

This gives

[tex]S_n= \frac{11}{2} *(6 + 26)[/tex]

Evaluate

[tex]S_{11} = 176[/tex]

Hence, the sum of the arithmetic series 6 8 10 12 14 16 18 20 22 24 26 is 176

Read more about arithmetic series at:

https://brainly.com/question/6561461

#SPJ4