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Sloan [31]
3 years ago
10

What is the explicit formula for this sequence?

Mathematics
1 answer:
ddd [48]3 years ago
6 0

Answer:

a_n=-7+4(n-1)

or

a_n=-7+(n-1)(4)

Step-by-step explanation:

-7,-3,1,5,... is a arithmetic sequence.

Arithmetic sequences have a common difference. That is, it is going up by 4 each time.

When you see arithmetic sequence, you should think linear equation.

The point-slope form of a line is y-y_1=m(x-x_1).

m is the common difference, the slope.

Any they are using the point at x=1 in the point slope form.  So they are using (1,-7).

So let's put this into our point-slope form:

y-(-7)=4(x-1)

y+7=4(x-1)

Subtract 7 on both sides:

y=-7+4(x-1)

So your answer is

a_n=-7+4(n-1)

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Correct question :

The average speed that a tsunami (a large tidal wave) travels is represented

by the functions = (200d)^1^/^2 where s is the speed (in miles per hour) that the tsunami is traveling and d is the average depth (in feet) of the wave.

a. Find the inverse of the function.

b. Find the average depth of the tsunami when the recorded speed of the wave is 250 miles per hour.

Answer:

a) d = \frac{s^2}{200}

b) 312.5 ft

Step-by-step explanation:

Given:

Average speeds, s = (200d)^1^/^2

a) To find the inverse of the function.

s = (200d)^1^/^2

s² = 200d

200d = s²

d = \frac{s^2}{200}

Therefore, inverse of the function =

d = \frac{s^2}{200}

b) average depth when speed is 250 miles per hour.

Average depth = d

Therefore, let's use the formula :

d = \frac{s^2}{200}

= \frac{250^2}{200}

= \frac{62500}{200}

d = 312.5 feet

The average depth when speed is 250 miles per hour is 312.5 ft

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3 years ago
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Micheal has 4 red shirts, 3 green shirts, and 5 blue shirts in his closet. If he randomly selects a shirt, what is the probabili
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Answer:

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Its equivalent percent is less than 100% and its equivalent decimal is less than 0.99 or less.

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