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 .

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: