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, ...

Answer 1

Only the first sequence: –12, –18, –27, ...

Check: –12 × 1.5 = –18 and –18 × 1.5 = –27. The others do not have each term equal to 1.5 times the previous term.