The correct option is A. 2483
EXPLANATION
Given:
8, 15, 22 .........
First, find the common difference (d) = 15 - 8 = 7
We can calculate the sum of the arithmetic sequence using the formula below:
[tex]Sn=\frac{n}{2}\lbrack(2a+(n-1)d\rbrack[/tex]Where a is the first term, n is the number of term and d is the common difference.
n = 26 a = 8 and d=7
Substitute the values into the formula and evaluate.
[tex]S_{26}=\frac{26}{2}\lbrack2(8)+(26-1)7\rbrack[/tex][tex]=13\lbrack16+25(7)\rbrack[/tex][tex]=13\lbrack16+175\rbrack[/tex][tex]=13(191)[/tex][tex]=2483[/tex]Hence, the correct option is A. 2483
