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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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A rectangle is 7 meters. The perimeter is 24. What is the width?
lana [24]
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2 years ago
Joni has a circular garden with a diameter of 14 1/2 feet if she uses 2 teaspoons of fertilizer for every 25 square feet of gard
alina1380 [7]

Answer:

13.20 teaspoon of fertiliser needed for entire garden.

Step-by-step explanation:

Diameter of the garden = 14.50 ft

Radius of the garden = 7.25 ft

Area

[tex]A=\pi r^2[/text]

[tex]A=\pi \times 7.25 \times 7.25[/text]

[tex]\pi=3.14[/text]

[tex]A=\pi \times 7.25 \times 7.25[/text]

[tex]A=3.14 \times 7.25 \times 7.25[/text]

Hence

[tex]A=165.046[/text]

Area is 165.046 Sq Ft

For 25 sq ft of fields the fertiliser needed = 2 tea spoon

For 1 sq ft of fields the fertiliser needed =

[tex]\frac{2}{25}[/text] tea spoon

For 165.046 sq ft of fields the fertiliser needed =

[tex]\frac{2 \times 165.046 }{25}[/text] tea spoon

For 165.046 sq ft of fields the fertiliser needed = 13.20 tea spoon

6 0
3 years ago
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valentina_108 [34]
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