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

Falak Kinney

Falak Kinney

Answered question

2021-02-02

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=14
d. neither

Answer & Explanation

Cristiano Sears

Cristiano Sears

Skilled2021-02-03Added 96 answers

Step 1 Fora sequence to be arithmetic sequence difference between consecutive terms must be equal.
Mathematically,
d=t2t1=t3t2
Consider the given sequence: 9,13,17,21,...
Step 2
Now check for common difference,
d=139=4
d=1713=4
This proves that,
4=t2t1=t3t2
Therefore, it is arithmetic progression with common difference 4,

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?