Do the numbers 1², 5², 7², 73 ….. form an A.P. ? If yes, its next term will be :

1. Yes, 11²

2. No

3. Yes, 97

4. Yes, 24

Given,

List = 1², 5², 7², 73 …..

= 1, 25, 49, 73, ……..

Here,

a₂ - a₁ = 25 - 1 = 24

a₃ - a₂ = 49 - 25 = 24.

Since, common difference between consecutive terms are equal.

Hence, it forms an A.P.

Next term = 73 + d = 73 + 24 = 97.

Hence, Option 3 is the correct option.