If a, start subscript, 1, end subscript, equals, 4a
1
=4, a, start subscript, 2, end subscript, equals, 3a
2
=3 and a, start subscript, n, end subscript, equals, 3, a, start subscript, n, minus, 1, end subscript, plus, 2, a, start subscript, n, minus, 2, end subscripta
n
=3a
n−1
+2a
n−2
then find the value of a, start subscript, 6, end subscripta
6
.