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Lady_Fox [76]
4 years ago
5

What is the next number in the pattern? :2, 6, 18, 144, 2736, ?????

Mathematics
2 answers:
boyakko [2]4 years ago
7 0
Here, pattern is a₃ = a₂(a₁+1)    [ for odd place numbers ]
& a₄ = a₃(a₂+2)                          [ for even place numbers ]

Now, we have 1st number = 2
2nd = 6
3rd = 6(2+1) = 6(3) = 18
4th = 18(6+2) = 18(8) = 144
5th = 144(18+1) = 144(19) = 2736

6th = 2736 (144+2) = 2736(146) = 3,99,456

So, your final answer is 3,99,456

Hope this helps!
mr Goodwill [35]4 years ago
5 0
54,730??? Because 2*3=6 , 6*3=18 , 18*18=145 144*19=2736 and 2736*20=54740
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A carnival ride is in the shape of a wheel with a radius of 25 feet. The wheel has 20 cars attached to the center of the wheel.
Ad libitum [116K]
<h3>Answers:</h3>
  • Central angle = 18 degrees
  • Arc length = 7.85 feet approximately
  • Area of sector = 98.17 square feet approximately

All of these answers apply to just between two adjacent or neighboring cars. For the last two answers, I used the calculator's stored value of pi instead of something like pi = 3.14

==================================================

Explanation:

A full circle is 360 degrees. Divide this into 20 equal pieces to get 360/20 = 18. Each little pie slice is 18 degrees. This is the central angle between any two adjacent or neighboring cars.

--------------------------

The circumference of the ferris wheel is 2*pi*r = 2*pi*25 = 50pi  feet exactly. This is the total distance around the circle. We only want a small portion of that. Namely, we want the curved distance from one car to its neighbor. Go for the shortest distance possible.

The formula we'll use is

L = (x/360)*2*pi*r

note how 2*pi*r is the circumference of the circle, so we're taking a fractional portion (x/360) of this full circle perimeter to get the arc length L. The value of x is the central angle.

So,

L = (x/360)*2*pi*r

L = (18/360)*2*pi*25

L = (1/20)*50pi

L = (50/20)pi

L = 2.5pi

L = 7.85398163397449 feet

L = 7.85 feet approximately

I used my calculators stored version of pi, as opposed to something like pi = 3.14

--------------------------

The last part of this problem is finding the area of the sector between two neighboring cars. The full circle has area of pi*r^2 = pi*25^2 = 625pi square feet exactly.

We'll take a fraction of this, specifically 1/20 th of the area, to get the pie slice area we want

area of sector = (1/20)*(area of circle)

area of sector = (1/20)*625pi

area of sector = 31.25pi

area of sector = 98.174770424681 approximately

area of sector = 98.17 square feet approximately

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4 years ago
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Answer:

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D ≈ \frac{250}{Pi} ≈ 79.57747155

Diameter is approximately 80 ft.

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Answer:

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