1.

Check whether an = 2n2 + 1 is an A.p. or not.

Answer»

an = 2n2 + 1 Then an+1 = 2 (n + 1)2 + 1

So, an+1 - an = 2(n2 + 2n + 1) + 1 - 2n2 - 1

= 2n2 + 4n + 2 + 1 - 2n2 - 1

= 4n + 2, which is not constant 

So, The above sequence is not an A.P.



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