What is the recursive rule for this geometric sequence? 3, 3/2, 3/4, 3/8

Step-by-step explanation:

Let's look a the sequence:

we can see that

and

and

so each next number is equal to the previous number multiplied by or, in other other words, is the previous number divided by 2.

So the recursive formula must be:

where is a number in the sequence, and is the immediate previous number.