Arecursive rule for a geometric sequence is a1=4/9; an=3an−1 what is the explicit rule for this sequence? enter your answer in the box.

Explicit rule for this sequence is,

Step-by-step explanation:

A recursive rule for a geometric sequence is ,

First term

To get second term, just multiply the first term by 3

so, we get the common ratio r = 3

Now, Explicit rule for geometric sequence is given by:

Here, and r= 3

So, explicit rule is :