### Home > CC4 > Chapter 5 > Lesson 5.2.3 > Problem 5-77

5-77.

Avery and Collin were trying to challenge each other with equations for sequences. Avery was looking at an explicit equation that Collin wrote. Homework Help ✎

*t*(*n*) = 4.5*n*− 8Write the first 4 terms for the sequence.

What would Avery do to write the 15

^{th}term of this sequence?Write a recursive equation for this sequence.

−3.5, 1, 5.5, 10

She would evaluate the equation for *n* = 15.

A recursive equation is built using t(*n*+1).

As you look at the first four terms (from part (a)), how is the next term calculated for each term?