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 2021-02-02 Answered
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
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Expert Answer

Cristiano Sears
Answered 2021-02-03 Author has 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,

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