Determine whether the given sequence could be geometric,arithmetic, or neither. If possoble, identify the common ratio or difference. 9, 13, 17, 21, .... a. arithmetic d = 4 b. geometric r = 4 c. geometric r = frac{1}{4} d. neither

Determine whether the given sequence could be geometric,arithmetic, or neither.
If possoble, identify the common ratio or difference.
9, 13, 17, 21, ....
a. arithmetic $d=4$
b. geometric $r=4$
c. geometric $r=\frac{1}{4}$
d. neither
You can still ask an expert for help

Want to know more about Polynomial arithmetic?

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Cristiano Sears

Step 1 Fora sequence to be arithmetic sequence difference between consecutive terms must be equal.
Mathematically,
$d={t}_{2}-{t}_{1}={t}_{3}-{t}_{2}$
Consider the given sequence: 9,13,17,21,...
Step 2
Now check for common difference,
$d=13-9=4$
$d=17-13=4$
This proves that,
$4={t}_{2}-{t}_{1}={t}_{3}-{t}_{2}$
Therefore, it is arithmetic progression with common difference 4,