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

Asked by Afreen Jilani | 22nd Mar, 2014, 08:58: AM

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  | 22nd Mar, 2014, 12:22: PM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.