Question

A1=1 and An+1 = -3An-3 find a5

Answer 1

a₅ = 141

Explanation:

using the recursive rule
`a_(n+1)` = - 3
`a_(n)` - 3 and a₁ = 1

the recursive rule allows a term in the sequence to be found by multiplying the previous term by - 3 and then subtracting 3 , that ia

a₁ = 1

a₂ = - 3a₁ - 3 = - 3(1) - 3 = - 3 - 3 = - 6

a₃ = - 3a₂ - 3 = - 3(- 6) - 3 = 18 - 3 = 15

a₄ = - 3a₃ - 3 = - 3(15) - 3 = - 45 - 3 = - 48

a₅ = - 3a₄ - 3 = - 3(- 48) - 3 = 144 - 3 = 141