### Home > GB8I > Chapter 11 Unit 12 > Lesson INT1: 11.2.6 > Problem11-120

11-120.

Consider the sequence $4, 8, …$

1. If the sequence is arithmetic, write the first four terms and an equation in standard 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 four terms and an equation in standard 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, ….

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