### Home > CCA2 > Chapter 10 > Lesson 10.1.1 > Problem10-10

10-10.

If the third term of an arithmetic sequence is $13$ and the seventeenth term is $-29$, what is the eighth term?

Create and solve a system of equations based on the sequence $t(n)=an+b$:
$13=a(3)+b$
$-29=a(17)+b$

Use the Elimination Method to solve for $a$ and $b$.

$t(8)=(8)(a)+b=?$