Question

What is the sum of the first 50 terms in the arithmetic sequence 5, 8, 11, 14,...?

Answer 1

3925

Explanation:

We can use the formula
`an=a1+(n-1)d` to find 50th term where:

`an` is the nth term in the sequence

`a1` is the first term in the sequence

`d` is common difference between terms

`5+(50-1)*3=152`

We also use the formula
`Sn=n*(a1+an/2)` to find the sum

`50*((5+152)/(2))=3925`