Question

the first term of an arithmetic sequence is -27. the common difference of the sequence is 6. What is the sum of the first 50 terms

Answer 1

Answer: 6000

Explanation:

The formula for the first
`n` terms of an arithmetic sequence with first term
`a` and common difference
`d` is
`S_n=(n)/(2)[2a+(n-1)d]`.

In this question,
`a=-27, d=6, n=50`.

So,
`S_(50)=(50)/(2)[2(-27)+(50-1)(6)]=6000`.