Find the first five terms of the sequence defined by each of these recurrence relations and initial conditions.
a.an = 6an−1, a0 = 2
b.an = a2 n−1, a1 = 2
c.an = an−1 + 3an−2, a0 = 1, a1 = 2
d.an = nan−1 + n2an−2, a0 = 1, a1 = 1
e.an = an−1 + an−3, a0 = 1, a1 = 2, a2 = 0