Q$1.$ For the sequence $-3,3,9,15,21,....$:

$($i$)$ Find recursive and non$-$recursive formulas.

$($ii$)$ Prove the non$-$recursive formula using recursive formula and by induction.

$($iii$)$ Write and iterative algorithm to out put the first m terms.

Q$2.$ Prove that t$($n$)=$A$(2)$n$+$B is the non$-$recursive $($Solution$)$ definition of

t$($n$)-3$t$($n$-1)+2$t$($n$-2)=0.$