For the sequence whose nth term is n2, check if its in an ap?

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Solution

Dear Student,

a_n= n²

Therefore, the sequence is:
a₁= 1
a₂= 2² = 4
a₃= 3² = 9
a₄= 4²= 16
.
.
.
.
Common difference = a₂ - a₁= 4 - 1 = 3
= a₃- a₂= 9 - 4 = 5
= a₄- a₃= 16 - 9 = 7
Hence the common difference is not same therefore the sequence is no in AP

Regards

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