precalculus
posted by Ama on .
Find the first five terms of the given recursively defined sequence.
an = 3an − 1 + 9 and a1 = 2

If yourexpression mean :
an = 3 a ( n − 1 ) + 9
a1 = 2
then
a2 = 3 a1 + 9 = 3 * 2 + 9 = 6 + 9 = 15
a3 = 3 a2 + 9 = 3 * 15 + 9 = 45 + 9 = 54
a4 = 3 a3 + 9 = 3 * 54 + 9 = 162 + 9 = 171
a5 = 3 a4 + 9 = 3 * 171 + 9 = 513 + 9 = 522