A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula?

–12, –18, –27, ...
–20, 30, –45, ...
–18, –16.5, –15, ...
–16, –17.5, –19, ...

Question

A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula?

–12, –18, –27, ...
–20, 30, –45, ...
–18, –16.5, –15, ...
–16, –17.5, –19, ...

Vocaloid · Answer

let's break down what f(n) and f(n+1) mean

for a generic term n, f(n) is the result of applying the sequence rule to n

f(n+1) is a result of applying the sequence rule to n + 1, or in other words, the term after n + 1

therefore, f(n+1) = 1.5f(n)  implies that each term is multiplied by 1.5 to get to the next term

with all that being said, what do you think might be a sequence that follows this rule?