Find formula for geometric suggest that begins with 12, 4, 4/3. . .

the correct answer is

an = 12 × (1/3)^(n - 1)

Step-by-step explanation:

In a geometric series, the consecutive terms differ by a common ratio

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio between successive terms in the sequence.

n represents the number of terms in the sequence.

From the information given,

a = 12

r = 4/12 = (4/3)/4 = 1/3

The formula that represents the nth term would be expressed as

Tn = 12 × (1/3)^(n - 1)

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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