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notsponge [240]
3 years ago
10

Determine whether the sequence below is arithmetic or geometric, and find the function that will produce any given term in the s

equence: 16, 24, 36, 54, 81,
Is this sequence arithmetic?
Is this sequence Geometric?
What is the analytical representation of the sequence?
Mathematics
1 answer:
kondor19780726 [428]3 years ago
4 0

Answer:

Geometric Sequence.

nth term = an = 16(1.5^(n-1).  

Step-by-step explanation:

24/16 = 1.5

36/24 = 1.5

54/36 = 1.5

81/54 = 1.5

There is a common ratio between the terms so it is Geometric.

The nth term an = a1r^(n-1)   where a1 = first term , r = common ratio.

So here we have an = 16(1.5)^(n-1).

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Step-by-step explanation:

differentiate first equation to get t , then replace t with 1/3

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Brilliant_brown [7]

Answer:

450 people paid the discounted fare and 750 people paid the regular fare.

Step-by-step explanation:

let r be regular fares paid and d be discounted fares paid

Total fares = 0.8r + 0.4d = 780

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Rearrange this formula:

r = 1200 - d

Substitute r into Total Fares formula

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780 = 0.8(1200-d) + 0.4d

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Sub d=450 into Total people formula

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r + 450 = 1200

r = 1200-450

r = 750

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