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3 years ago

Recursive formula of 6, 7, 7.5, 7.75

Mathematics

2 answers:

Ksivusya [100]3 years ago

4 0

The answer is: 6, 7, 7 1/2, 7 3/4.

raketka [301]3 years ago

4 0

6, 7, 7.5, 7.75

If we look, after the first two number, the next is gotten by adding half of the difference of the two numbers before to the last number.

6, 7

The next is:

7 - 6 = 1,

1/2 = 0.5

7 + 0.5 = 7.5 So the next is 7.5.

So we have 7 and 7.5

7.5 - 7 = 0.5

0.5/2 = 0.25

7.5 + 0.25 = 7.75

So if we have Tₓ, Tₓ₊₁,

So by observation, we can say the recursive formula is:

Tₓ₊₂ = Tₓ₊₁ + (Tₓ₊₁ - Tₓ)/2

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Answer:

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Step-by-step explanation:

Slope (m) = 7

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Equation of line in slope-intercept form is given as:

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2 years ago

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Lady bird [3.3K]

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Step-by-step explanation:

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3 years ago

2 taps A and B can fill a swimming pool in 3 hours. If turned on alone, it takes tap A 5 hours less than tap B to fill the same

vazorg [7]

Answer:

Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.

Step-by-step explanation:

Let tap B fills the pool alone in the time = x hours

So in one hour part of pool will be filled = $\frac{1}{x}$

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So in one hour part of the same pool filled = $\frac{1}{x-5}$

Now both the taps A and B are turned on then time taken to fill the pool = 3 hours.

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Now we form an equation

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$\frac{x-5+1}{x(x-5)}=\frac{1}{3}$

$\frac{x-4}{x(x-5)}=\frac{1}{3}$

3(x - 4) = x(x - 5)

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x² - 6x - 2x + 12 = 0

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Time taken by tap A = 6 - 4 = 2 hours.

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3 years ago

The perimeter of a rectangular playground is 494 yards. The length of the playground is 7 more than twice the width. Find the le

lbvjy [14]

Answer:

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Step-by-step explanation:

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2 years ago

Write the resultant of the two vectors as an ordered pair. –6 5 and 6 –5

RideAnS [48]

Answer:

Resultant vector of two vectors is (0, 0).

Step-by-step explanation:

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We can represent these vectors in the form of

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Now the resultant of these vectors will be = A + A'

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So the resultant vector = (0 + 0)

Therefore the resultant will be (0, 0)

8 0

3 years ago

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