Which of the following are APs? If they form an AP, find the common difference d and write three more terms.
a, a², a³, a⁴

Question

Which of the following are APs? If they form an AP, find the common difference d and write three more terms.1, 3, 9, 27, . . .

Philoid · Accepted Answer

For a series to be in AP, the common difference (d) should be

Equal.

D₁ = second term – first term = 3 - 1 = 2

D₂ = Third term - Second term = 9 – 3 = 7

Since common difference is not equal the above series is not in AP

Which of the following are APs? If they form an AP, find the common difference d and write three more terms.
1, 3, 9, 27, . . .