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

10-10.

If the third term of an arithmetic sequence is 13 and the seventeenth term is −29, what is the eighth term? Homework Help ✎

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* = ?