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Alborosie
2 years ago
9

If f(1) = 160 and f(n + 1) = –2f(n), what is f(4)?

Mathematics
2 answers:
lions [1.4K]2 years ago
5 0

Answer:

-1280

Step-by-step explanation:

There are 2 ways you could do this. You could just do the question until you come to the end of f(4). That is likely the simplest way to do it.

f(1) = 160

f(2) = - 2 * f(1)

f(2) = -2*160

f(2) = -320

f(3) = -2 * f(2)

f(3) = -2 * - 320

f(3) = 640

f(4) = - 2 * f(3)

f(4) = - 2 * 640

f(4) = - 1280

I don't know that you could do this explicitly with any real confidence.

Gre4nikov [31]2 years ago
3 0

f(1)=160\\f(n+1)=-2f(n)\\\\f(2)=-2\cdot 160=-320\\f(3)=-2\cdot(-320)=640\\f(4)=-2\cdot 640=-1280

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7 0
2 years ago
On a quiz show, Linda won $10 less than three times as much as Charlie. If Linda won $800, how much did Charlie win?
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Using a system of equations, it is found that Charlie won $270.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Amount earned by Linda.
  • Variable y: Amount earned by Charlie.

Linda won $10 less than three times as much as Charlie, hence:

x = 3y - 10

Linda won $800, hence the amount won by Charlie is found as follows:

800 = 3y - 10

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y = 810/3

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More can be learned about a system of equations at brainly.com/question/24342899

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1 year ago
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3 years ago
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olga_2 [115]

Answer:

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Step-by-step explanation:

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2 years ago
Read 2 more answers
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