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CBSE Class 10 Answered

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

Asked by Afreen Jilani | 22 Mar, 2014, 08:58: AM
answered-by-expert 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 | 22 Mar, 2014, 12:22: PM

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