Question

Write an equation for the nth term of the arithmetic sequence. Then find a10 a 10 . −3,−6,−9,−12,... − 3 , − 6 , − 9 , − 12 , . . .

Answer 1

-30

Explanation:

Since the first term is -3 and the common difference is 3, the equation for the nth term is
`-3-3(n-1)` (Test it out!).

Therefore, the 10 term will be
`-3-3(10-1)` which is
`-3-3(9)` which simplifies to
`-3-27` which results in
`-30`.

Hope this helps :)