Question

Find the sum of the first 34 terms to the nearest integer

13,19,25

Answer 1

3808

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:

`S_n=(n)/(2)[2a+(n-1)d] \\n=34, a=13, d=6\\$Therefore:\\S_(34)=(34)/(2)[2(13)+(34-1)*6]\\=17[26+33*6]\\=17[26+198]\\=17*224\\S_(34)=3808`

The sum of the first 34 terms is 3808.