1.

Determine whether (t_n) is an arithmetic sequence if: t_n=an^2+bn

Answer»

SOLUTION :`t_n=an^2+impliest_(N+1)=a(n+1)^2+B(n+1)impliest_(a+1)-t_a=a{(n+1)^2-n^2}+{n+1-n}=a(2n+1)+b` which is not INDEPENDENT of n. `THEREFORE(t_a)` is not an A.P.


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