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Natali5045456 [20]
3 years ago
13

What is the 4th term in the sequence? C(1)=56 C(n)= c(n-1)•1/2

Mathematics
1 answer:
Anton [14]3 years ago
3 0

Answer:

The 4th term is 7

Step-by-step explanation:

we have

C(n)=C(n-1)\frac{1}{2}

C(1)=56

step 1

Find C(2)

For n=2

C(2)=C(1)\frac{1}{2}

C(2)=(56)\frac{1}{2}=28

step 2

Find C(3)

For n=3

C(3)=C(2)\frac{1}{2}

C(3)=(28)\frac{1}{2}=14

step 3

Find C(4)

For n=4

C(4)=C(3)\frac{1}{2}

C(4)=(14)\frac{1}{2}=7

therefore

The 4th term is 7

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Dina planted a six-foot tree in her backyard which she expects to grow at the rate of 4 feet per year. Find the equation of the
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Answer:

y = 6 + 4x

After 4 years, the tree would be 22 ft tall.

Step-by-step explanation:

Hi there!

Let x = the number of years that pass

Let y = the height of the tree (ft)

We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.

Height of tree = 6 feet + 4 feet × number of years that pass

y = 6 + 4x

To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:

y = 6 + 4(4)

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Therefore, the tree would be 22 ft tall.

I hope this helps!

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2 years ago
A company bought 28 desks for each<br> of its 17 offices. How many desks were<br> bought altogether?
nika2105 [10]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
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I’m so bad at slope
Travka [436]

Answer:

So slope 1 would be positive

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Step-by-step explanation:

If the slope is moving up from left to right, then it is positive

If the slope is moving down from left to right, then it is negative

If the slope is a vertical line and is not moving left/right, then it is undefined

If the slope is a horizontal line and is not moving up/down, then it is zero

So slope 1 would be positive because it is moving up from left to right.

Slope 2 would be negative because it is moving down from left to right.

Slope 3 would be zero because it is a horizontal line that is not moving up or down.

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Answer:

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Step-by-step explanation:

When we have a tangent segment to a circle, the angle made with the radius of the circle and the tangent segment is always a right angle, that is, 90 degrees. In other words, the radius and the tangent segment are always perpendicular.

If QR is tangent to the circle P, and PQ is the radius of the circle, the segment PQ is perpendicular to the segment QR, so the angle PQR is equal 90 degrees.

Correct option: C)

6 0
3 years ago
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