What is the recursive formula for this geometric sequence4,-12,36,-

= - 3 with = 4

To find the next term in the sequence multiply the previous term by - 3

the common ratio r = = = - 3

= × r ← recursive formula

Step-by-step explanation:

The recursive formula for geometric sequence is given by :-

 -----(1) , where r = common ratio and n=natural number .

nth term of geometric sequence =

The given geometric sequence : 4,-12,36,-108...

First term =

Second term =  

Also,

∴ r = -3

Put the value of r in (1) , we get the recursive formula for given geometric sequence  as

i.e.