Question

Do the numbers \(1^{2}, 5^{2}, 7^{2}, 73 \ldots\) form an A.P.? If yes, its next term will be:

Options

• Yes, \(11^{2}\)

• No

• Yes, 97

• Yes, 24

Answer 1

Yes, 97

Explanation:

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.