### Home > CCA > Chapter 5 > Lesson 5.3.3 > Problem 5-122

5-122.

An arithmetic sequence has. Write an equation for the sequence. What is

*? Homework Help ✎*

The general equation for an aritmetic sequence is *t*(*n*) = *mn* + *b*.

Use *t*(8) = 1056 to write an equation.*t*(8) = *m*(8) + *b* or 1056 = 8*m* + *b*

Use *t*(13) = 116 to write another equation.

Solve the system of equations you wrote for *m* and *b*.

*t*(*n*) = −188*n* + 2560

To find *t*(5), substitute 5 for *n* in the equation that you wrote.