### Home > INT1 > Chapter 7 > Lesson 7.2.2 > Problem7-103

7-103.

Examine each sequence below. State whether it is arithmetic, geometric, or neither. For the sequences that are arithmetic, write a formula for $t(n)$. For the sequences that are geometric, determine the common ratio.

1. $1, 4, 7, 10, 13, …$

1. $0, 5, 12, 21, 32, …$

The sequence is neither arithmetic nor geometric.

1. $2, 4, 8, 16, 32, …$

The sequence is geometric.

$r = 2$

1. $5, 12, 19, 26, …$

Do the terms in the sequence increase by adding a constant amount or multiplying by a constant?

1. $x, x + 1, x + 2, x + 3, …$

See part (d).

The sequence is arithmetic.

$d = 1$

1. $3, 12, 48, 192, …$

See part (d).