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Question
is the Consider the expression an = 1 + n + n2, AP .a
Solution
Consider the expression an = 1 + n + n2,
For n = 1, a1 = 1 + 1 + 1 = 3
For n = 2, a2 = 1 + 2 + 4 = 7
For n = 3, a3 = 1 + 3 + 9 = 13
For n = 4, a4 = 1 + 4 + 16 = 21
The first four terms are 3, 7, 13, 21.
The difference between each consecutive term is not same.
Hence this is not an A.P.
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