Betty Crocker likes to make brownies. Some of the brownies are rectangular prisms where the length, width and height all equal 3 inches. Some of the brownies are cylinders, where the radius is 3 inches and the height is 1 inch. Which brownie requires more brownie batter to make?
Brownies are not drawn to scale
Brownies that are in the shape of rectangular prisms
Brownies that are in the shape of cylinders
They both require the same amount of brownie batter.
It can't be determined... more information is needed.

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

hi do you need an answer for your question?

step-by-step explanation: