Question

Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio. 4, 13/3, 14/3, 5, 16/3, …​

Answer 1

Answer:

sequence is arithmetic

Step-by-step explanation:

An arithmetic sequence has a common difference between consecutive terms.

A geometric sequence has a common ratio between consecutive terms.

given

4 , $\frac{13}{3}$ , $\frac{14}{3}$ , 5 , that is

$\frac{12}{3}$ , $\frac{13}{3}$ , $\frac{14}{3}$ , $\frac{15}{3}$ , then

$\frac{13}{3}$ - $\frac{12}{3}$ = $\frac{14}{3}$ - $\frac{13}{3}$ = $\frac{15}{3}$ - $\frac{14}{3}$ = $\frac{1}{3}$

there is a common difference d = $\frac{1}{3}$ between consecutive terms

thus the sequence is arithmetic