Question

How do I express this recursive function?

a_n = 10ⁿ

I have found some of the values

a₀ = 10⁰ = 1

a₁ = 10¹ = 10

a₂ = 10² = 100

a₃ = 10³ = 1000

And this is the answer from the textbook

a_{n + 1} = 10a_n, for ≥ 1 and a₁ = 5

I'm confused because it says a1 = 5 but I got 10

Another problem

a_n = 5

I don't know how to find the values for this function, but the answer from the book says

a_{n + 1} = a_n, for n≥ 1 and a₁ = 5

Could someone explain this problem? Is every value 5?

Answer 1