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marin [14]
3 years ago
7

Write an explicit formula for a_n, the nth term of the sequence 4, -20, 100, ...

Mathematics
1 answer:
saw5 [17]3 years ago
3 0

Answer:

a_{n} = 4 (-5)^{n-1}

Step-by-step explanation:

There is a common ratio r between consecutive terms , that is

r = - 20 ÷ 4 = 100 ÷ - 20 = - 5

This indicates the sequence is geometric with nth term ( explicit formula )

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 4 and r = - 5 , then

a_{n} = 4 (-5)^{n-1}

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The volume of a sphere is decreasing at a constant rate of 5517 cubic centimeters per minute. At the instant when the volume of
denis-greek [22]

Answer:

I think the answere is 100 because i took a guess

Step-by-step explanation:

6 0
4 years ago
What does the t-coordinate of the solution to this system represent? the time at which the ball and the dog hit the ground the t
Margaret [11]

The t-coordinate of the solution to this system represents C. the time at which the ball and the dog's mouth are at the same height.

<h3>How to explain the coordiante?</h3>

A coordinate time scale is a time standard designed for use as the time coordinate in the calculation.

When Laurie throws a tennis ball toward her dog from a height, the t-coordinate of the solution to this system represents the time at which the ball and the dog's mouth are at the same height

The complete question is:

Laurie throws a tennis ball toward her dog from a height of 4.5 ft. The initial vertical velocity of the ball is 18 ft/s. At the same time as Laurie throws the ball, her dog jumps with an initial vertical velocity of 21 ft/s. When the dog jumps, its mouth is 1.5 ft above the ground. What does the t-coordinate of the solution to this system represent?

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brainly.com/question/17206319

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5 0
2 years ago
PLEASE HELP ME I NEED THIS REALLY BAD
Galina-37 [17]

Answer:

z=70, y=102

Step-by-step explanation:

180-110 = 70

so, z=70

99+89+70 = 258

360-258 = 102

so, y=102

5 0
4 years ago
how does knowing where the halfway point is help you find which hundred thousand 138,202 is closest to? Explain
ExtremeBDS [4]
Knowing the halfway point (which is 5) helps you so you know wither or not the hundred thousands place goes high or stays the same.
So, for this problem 138,202 would round out to 100,000 because the 3 is below 5 so the hundred thousands place stays the same.
8 0
3 years ago
Read 2 more answers
Given that f (x) = 2/x^2 , What is the value of f(x) when x = 2?
Sholpan [36]

Answer:

The answer to the question is 1

5 0
3 years ago
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