MATH SOLVE

3 months ago

Q:
# Which of the following represents the sum of the series?6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26

Accepted Solution

A:

The sum of the arithmetic series 6 8 10 12 14 16 18 20 22 24 26 is 176How to determine the sum of the series?The series is given as:6 8 10 12 14 16 18 20 22 24 26The above series is an arithmetic series with the following parameters:First term, a = 6Last term, L = 26Number of terms, n = 11The 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 176Read more about arithmetic series at: