Question

Find the recursive formula -3,12,-48,192​

Answer 1

see explanation

Explanation:

The given terms are the terms of a geometric sequence with common ratio

r =
`(12)/(-3)` =
`(-48)/(12)` =
`(192)/(-48)` = - 4

A recursive formula enables any term in the sequence from the previous term.

Thus multiplying the previous term by - 4 gives the next term in the sequence

Hence the recursive formula is

`a_(n+1)` = - 4
`a_(n)` ,
`a_(1)` = - 3