Lily is making a snack mix for her friends .the recipe shows the amount of each ingredient needed to make 8 bags. if lily follows the recipe, which statement is true? * 2 cups of pretzels• 1 cup of raisins• 2.5 cups of crackers• 0.25 cup of cranberries• 0.5 cup of pecanslily needs a. lily needs 6 cups of pretzels to make blank bags of snack mixs. if lily uses one cup of pecans she will need to use blank cups of crackers. the recipe will make blank bags of snack mix if lily uses only 1 cup of pretzels

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step-by-step explanation:

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step-by-step explanation:

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