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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 ✎

$t(n) = 4.5n − 8$

1. Write the first $4$ terms for the sequence.

$−3.5, 1, 5.5, 10$

2. What would Avery do to write the $15th$ term of this sequence?

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

3. Write a recursive equation for this sequence.

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?