Answer:
3808
Step-by-step explanation:
Given the sequence: 13,19,25
First Term, a=13
Common Difference, d=19-13=25-19=6
Since we have a common difference, the sequence is an arithmetic sequence.
We determine the sum of any nth term of an arithmetic sequence using the formula:
[tex]S_n=\frac{n}{2}[2a+(n-1)d] \\n=34, a=13, d=6\\$Therefore:\\S_{34}=\frac{34}{2}[2(13)+(34-1)*6]\\=17[26+33*6]\\=17[26+198]\\=17*224\\S_{34}=3808[/tex]
The sum of the first 34 terms is 3808.
