Which equation represents the formula for the general term, gn, of the geometric sequence 3, 1, 1/3, 1/9, . .?

Explicit form:

Recursive form: with .

Step-by-step explanation:

The first term is 3 and we are dividing by 3 each time.

Another way to say we are dividing by 3 each time is to say we are multiplying by factors of 1/3.

If the first term is and is the common ratio then the geometric sequence in explicit form is:

The recursive form for a geometric sequence is with where is the common ratio and is the first term.

So the recursive form for our sequence is with .

7

step-by-step explanation:

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