Find the first five terms of the recursively defined infinite sequence. a1 = 9, ak+1 = kak

Question

Find the first five terms of the recursively defined infinite sequence.

a₁ = 9,  a_k+1 = ka_k 

a1=

a2=

a3=

a4=

a5=

Answer 1

Answer 2

a₁ = 9 (Given)

for second term

We have to use the recursive formula to find other terms.

a_k+1 = ka_k -> put k = 1 -> a₁₊₁= 1a₁ -> a₂ = 9

for third term put k = 2,

a₂₊₁ = 2a₂ = 2 * 9 = 18

Keep going like this to find other terms, I hope this helps...