Section $5\mathrm{.}6$

Find the first six terms of each of the recursively defined sequences.

$t_k=t_{k-1}+t_{k-2},$ for every integer $k2$

$t_0=-1,t_1=3$

$v_k=2v_{k-1}+v_{k-2}-1,$ for every integer

$k3$

$v_1=1,v_2=2$

Section $5\mathrm{.}7$

Use iteration to guess an explicit formula for the sequence. Use formulas from Section $5\mathrm{.}2$ to simplify your answers whenever possible.

$t_k=t_{k-1}+3k,$ for every integer $k1$

$t_0=2$

$f_k=f_{k-1}+2*3^{k-1},$ for every integer $k2$

$f_1=1$