Question

A sequence is defined by the recursive function f(n + 1) = –10f(n).

If f(1) = 1, what is f(3)?

Answer 1

let's think about what f(n + 1) = –10f(n) means

f(n) is a generic term in the function, with position n
f(n+1), therefore, is the term after the f(n) term

so, f(n + 1) = –10f(n) means, to get the next term in the sequence, take the previous term and multiply by -10

using this logic, using f(1) = 1, you can multiply by -10 to get the next term, f(2), and again to get f(3). what should f(2) and f(3) be equal to?