### Home > CCG > Chapter 4 > Lesson 4.1.3 > Problem4-29

4-29.

Examine each sequence below. State whether it is arithmetic, geometric, or neither. For the sequences that are arithmetic or geometric, find the equation for $t(n)$ or $a_n$. Refer to the Math Notes box in this lesson if you need additional help.

Is the sequence increasing at a constant rate through addition or mulitplication?

1. $1$, $4$, $7$, $10$, $13$, …

The common difference of this sequence is $3$.

Follow the steps in the Math Notes box for writing the equation of an arithmetic sequence.

Arithmetic:
$a_n=1+3(n-1)=3n-2$

1. $0$, $5$, $12$, $21$, $32$, …

Neither

1. $2$, $4$, $8$, $16$$32$, …

See the Math Notes box in this lesson.

Geometric:
$a_n=2·2^{n-1}=2^n$

1. $5$, $12$, $19$, $26$, …

Follow the instructions from part (a).