### Home > CC4 > Chapter 8 > Lesson 8.2.3 > Problem 8-124

8-124.

For each sequence defined recursively, write the first five terms and then define it explicitly. Homework Help ✎

a.

*t*(1) = 12

*t*(*n*+ 1) =*t*(*n*) − 5b.

*a*_{1}= 32

*a*_{n}_{+1}=a _{n}

Read the Math Note box in section 5.3.3 on sequences.

Note *t*(1) is given.

*t*(1 + 1) = *t*(1) − 5

or *t*(2) = 12 − 5

*t*(2 + 1) = *t*(2) − 5

or *t*(3) = 7 − 5

Note first term *a*_{1} is 32.

To find *a*_{2}, substitute 32 into the equation.