How to solve which the difference between any two consecutive terms is always same.
How to proved the difference between all consecutive terms is the same as the initial common difference, then the sequence is an arithmetic sequence.
Find the common difference d and write to three more terms.
Class 10th Maths, CBSE Board and UP Board and Others state Board.
Which of the following are APs ? If they form an AP, find the common difference d and write three more terms. 1², 3², 5², 7², . . .
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1², 3², 5², 7², . .
a₂ – a₁ = 3² -1² = 9 – 1 = 8
a₃ – a₂ = 5² – 3² = 25 – 9 = 16
a₄ – a₃ = 7² – 5² = 49 – 25 = 24
The difference between the successive terms are not same Hence, it is not an A.P.