Question

Prove that nth term of the A.P. can not be n2+2. Justify.

Answer 1

for any AP,
tn= a+(n-1)d
   =a+dn-d
that means, it's always a 1st degree equation.thus,n^2+2 can never be the nth term of an AP.
.............................hence the proof.......................................

Answer 2

Answer:

question_answer Answers(3)

The nth term of an AP can't be n2+1. Difference between first and second term = 5 - 2 = 3. Their common difference is not equal. In A.P,common difference should not be equal, so this series can't be A.P.