### Home > CC4 > Chapter 8 > Lesson 8.2.3 > Problem8-124

8-124.
1. For each sequence defined recursively, write the first five terms and then define it explicitly. Homework Help ✎

2.  a. t(1) = 12 t(n + 1) = t(n) − 5 b. a1 = 32 an+1 = an

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 a1 is 32.

To find a2, substitute 32 into the equation.

$a_2=\frac{1}{2}(32)=16$