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Prove that the nth term of an AP cannot be n2 + 1. Justify your answer

Asked by Afreen Jilani 22nd March 2014, 8:58 AM
Answered by Expert
Answer:

Taking n = 1 in n2 + 1, we get

a1 = 1 +1 = 2

Taking n = 2, we get

a2 = 4 +1 = 5

Taking n = 3, we get

a3 = 9 + 1 = 10

Thus, we observe that the common difference is not the same.

Hence, nth term of an AP cannot be n2 + 1.

Answered by Expert 22nd March 2014, 12:22 PM
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