Question

show that the sequence whose nth term is not an AP​

Answer 1

Answer:

Let there be a sequence whose nth term is a linear expression in n.

a

n

=An+B, where A, B are constants.

a

n+1

=A(n+1)+B

Therefore,

a

n+1

−a

n

=A

It is independent of n and therefore a constant.

So, the sequence is an AP with common difference