### Home > CCAA8 > Chapter 8 Unit 9 > Lesson CCA: 8.1.5 > Problem8-52

8-52.

Consider the sequence $4,8,\dots$

1. If the sequence is arithmetic, write the first 4 terms and an equation in “first term” form for t(n).

What is the sequence generator if addition is being used to get from one term to the next?

$t(n)=4+4(n−1)$

2. If the sequence is geometric, write the first $4$ terms and an equation in “first term” form for $t(n)$.

What is the sequence generator if multiplication is being used to get from one term to the next?

$t(n)=4(2)^{(n−1)}$

3. Create another sequence that is neither arithmetic nor geometric and still starts with $4,8,\dots$.

There are many sequences of numbers that satisfy these conditions.
Ensure that whichever sequence you choose, it is neither arithmetic nor geometric.