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