Check whether an = 2n²
+ 1 is an A.p. or not.
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Let n= 1, 2 and 3
Substitute the value of n in an=2n²+1
a1=2(1)²+1=2+1=3
a2=2(2)²+1=8+1=9
a3=2(3)²+1=18+1=19
Now
a2-a1= 9-3=6
a3-a2=19-9=10
Here, a2-a1≠a3-a2
Therefore, an = 2n²+ 1 is not an A.P.
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