### Home > CCAA8 > Chapter 8 Unit 9 > Lesson CCA: 8.1.4 > Problem8-40

8-40.

A sequence starts $-3,1,5,9\dots$

1. If you wanted to find the $50th$ term of the sequence, would an explicit equation or a recursive equation be more useful?

Recall the definitions of explicit and recursive equations.

Explicit.

2. Write the equation in “first term” form as you did in problem 7-108.

Refer to problem 7-108 to recall what the first term form means.

$t(n)=−3+4(n−1)$

3. What is the $50th$ term of the sequence?

Insert 50 for n in the equation you found in part (b).

4. Write the explicit equation for the sequence $3$, $2\frac{2}{3}$, $2\frac{1}{3}$, $2$$1\frac{2}{3}$... in “first term” form.