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patriot [66]
3 years ago
7

Write an equation for the nth term of each geometric sequence. (show work)

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0
1) 4n

The arithmetic sequence is going up in 4’s (1 x 4 = 4, 4 x 4 = 16)
Therefore the answer is just 4n

2) 0.5n (1/2n)
The arithmetic sequence is going up in 0.5’s (1 x 0.5 = 1/2, 1/2 x 0.5 = 1/4)
Therefore the answer is just 0.5n or if you need it in a fraction it is (1/2n)

3) -7n
The arithmetic sequence is going up in -7’s (7 x -7 = -14, -14 x -7 = 28)
Therefore the answer is just -7n
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Answer:

F^{5}

Step-by-step explanation:

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4 0
3 years ago
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What is the surface area of a sphere with a circumference of 100T? Leave
mixer [17]

Answer:

10000π units²

Step-by-step explanation:

From the question given above, the following data were obtained:

Circumference (C) = 100π

Surface Area of sphere (SA) =?

Next, we shall determine the radius. This can be obtained as follow:

Circumference (C) = 100π

Radius (r) =?

C = 2πr

100π = 2πr

Divide both side by 2π

r = 100π / 2π

r = 50 units

Finally, we shall determine the surface area of the sphere. This can be obtained as follow:

Radius (r) = 50 units

Surface Area of sphere (SA) =?

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SA = 4 × π × 2500

SA = 10000π units²

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3 years ago
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lisov135 [29]
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4 0
2 years ago
ben is filling up his cylinder shaped pool up to 80% of its capacity . If his is 6 feet deep and has a diameter of 18 feet, how
Nady [450]

Answer:

You will put 1220.83ft³ of water in the pool

Step-by-step explanation:

First of all we have to calculate the volume of the pool and then calculate 80% of that volume

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v = volume

h = height = 6ft

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r = radius = 9ft

v = (π * r²) * h

we replace with the known values

v = (3.14 * (9ft)²) * 6ft

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v = 1526.04ft³

The volume of the cylinder is 1526.04ft³

If it is filled to 80% then we have to multiply the volume by 80/100

1526.04ft³  * 80/100 = 1220.83ft³

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