Question

What is the 33rd term of this arithmetic sequence?

12, 7, 2, -3, -8, …

HELP PLZ

Answer 1

First find the common difference. Can you do that?

Answer 2

i dont know how

Answer 3

7 - 12 = ?
2 - 7 = ?
Can you solve those? That will give us the common difference.

Answer 4

5

Answer 5

Close! -5.
Now we want to find the 33rd term. So we'll use this formula:

\[a_{1} + (n - 1)(d)\]
a1 is the first term of our sequence, 12.
n is the number of the term we want to find, 33.
d is the common difference, -5.

Can you plug all of that into that equation?