Question

The five terms of the sequence described by recursive function

Answer 1

22, 76, 238, 724, 2182

to generate the terms substitute n = 0, 1, 2, 3, 4 into the recursive function

$a_{1}$ = 3$a_{0}$ + 10 = ( 3 × 4 ) + 10 = 22

$a_{2}$ = 3$a_{1}$ + 10 = (3 × 22)+ 10 = 76

$a_{3}$ = 3$a_{2}$ + 10 = ( 3× 76) + 10 = 238

$a_{4}$ = 3$a_{3}$ + 10 = ( 3 × 238) + 10 = 724

$a_{5}$ = 3$a_{4}$ + 10 = (3 × 724) + 10 = 2182