Answer
a) A recursive sequence which has terms defined by the terms before it.
b) 3,8,27,112
Work Step by Step
a) This is the definition of a recursive sequence.
b) If $a_{1}$ = 3, and $a_{n}$ = n + 2$a_{n-1}$:
$a_{2}$ = 2 + 2$a_{1}$ = 2 + 2(3) = 8.
$a_{3}$ = 3 + 3$a_{2}$ = 3 + 3(8) = 27
$a_{4}$ = 4 + 4$a_{3}$ = 4 + 4(27) = 112
First 4 terms: 3,8,27,112
