ANSWER
[tex]S_{26}=1300[/tex]
EXPLANATION
The sum of an arithmetic sequence whose first term and last terms are known is calculated using
[tex]S_{n}= \frac{n}{2} (a + l)[/tex]
From the given information, the first term of the series is
[tex]a = 7[/tex]
and the last term of the series is
[tex]l = 93[/tex]
The sum of the first 26 terms is
[tex]S_{26}= \frac{26}{2} (7 + 93)[/tex]
[tex]S_{26}= 13 (100)[/tex]
[tex]S_{26}=1300[/tex]
