Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.

(i) √3, √6, √9, √12 …

(ii) 1², 3², 5², 7² …

Solution(i):

Given here,

Since, a_n+1 – a_n or the common difference varies from time to time.

Therefore, the given series does not form a A.P.

Solution(ii):

Given here,

Since, a_n+1 – a_n or the common difference varies  from time to time.

Therefore, the given series does not form a A.P.