Answer:
a(8) = -0.0027
Step-by-step explanation:
The most general formula for a geometric sequence is a(n) = a(1)*r^(n-1), where a(1) is the first term and r is the common ratio.
Here, the formula becomes a(n) = 6*(-1/3)^(n-1).
Substitute 8 for n to find the eighth term:
a(8) = 6*(-1/3)^(8-1), or a(8) = 6(-1/3)^7, or a(8) = -0.0027
You have to collect like terms that means group the numbers that have the same variables
Lets check...
42/56 = 56/64
cross multiply
(56)(56) = (42)(64)
3136 = 2688...(incorrect)...these are not proportional
proportions are nothing but equivalent fractions
42/56 = 3/4
56/64 = 7/8
as u can see, they are not equivalent fractions...so they are not proportional
Answer:
Apples and Peaches
Step-by-step explanation:
It is convenient to compare the prices for 3 lbs of each of the fruits.
Multiply the price and quantity of Apples by 4:
... 4×(3/4 lb) = 4×$1.59
... 3 lb = $6.36 . . . . for apples
Multiply the price and quantity of Plums by 6:
... 6×(0.5 lb) = 6×$1.15
... 3 lb = $6.90 . . . . for plums
The two lowest-priced fruits are apples (6.36/(3 lb)) and peaches (5.37/(3 lb)).
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<em>Comment on</em> the best deal
No criteria are provided for determining the best deal. Though plums are higher-priced, they have somewhat higher polyphenol content than apples or peaches, so may provide the best deal in terms of nutrition per dollar.
