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

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

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

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

(i) 1², 5², 7², 73 …

Solution(i):

Given here,

${{a}_{2}}-{{a}_{1}}=25-1=24$

${{a}_{3}}-{{a}_{2}}=49-25=24$

${{a}_{4}}-{{a}_{3}}=73-49=24$

Since, a_n₊₁ – a_n or the common difference remains the same every time.

Therefore, d = 24 so the given series forms a A.P.

The following three terms are;

${{a}_{5}}=73+24=97$

${{a}_{6}}=97+24=121$

${{a}_{7}}=121+24=145$

i

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