Answer
The first five terms are:
$a_1= -1$
$a_2 = 1$
$a_3 = 2$
$a_4 = 9$
$a_5= 47$
Work Step by Step
Use the given recursive formula to find the next four terms:
$a_1= -1$
$a_2 = 1$
$a_3 = a_1 +3a_2=-1+3(1) = -1 + 3 =2$
$a_4 = a_2 + 4a_3 =1 + 4(2) = 1+8 = 9$
$a_5= a_3 + 5a_4 = 2+5(9) = 2+45=47$