1.

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

Answer»

SOLUTION :`t_nan^2+brArrt_(N+1)=a(n+1)^2+b`
`thereforet_(n+1)-t_n=a[n+1)^2-n^2]+b-b=a(2n+1)` (does not independent of n)
`THEREFORE(t_n)` is not an ARITHMETIC SEQUENCE.


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