Question

Find out whether the sequence $1^2,3^2,5^2,7^2$,... is an AP. If it is, find out the common difference.

• A. No
• B. Yes, $d=8$
• C. Yes, $d=-8$
• D. Yes, $d=9$

Answer 1

The correct option is A No

Given series is $1^2,3^2,5^2,7^2,......$

We have, $3^2-1^2=9-1=8$
$5^2-3^2=25-9=16$
$7^2-5^2=49-25=24$
This shows that the difference of a term and the preceding term is not always same.
Hence, the given sequence is not an AP.