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3 years ago

Find the next three terms of the sequence 5,-10,20,-40

Mathematics

2 answers:

valkas [14]3 years ago

8 0

Answer:

200,-1000,5000

Step-by-step explanation:

First we need to find the common ratio

Take the second term and divide by the first

-10/2 = -5

To find the 5th term take the 4th term and multiply by the common ratio

-40*-5 = 200

To find the 6th term take the 5th term and multiply by the common ratio

200 *-5 = -1000

To find the 7th term take the 6th term and multiply by the common ratio

-1000*-5 = 5000

Mazyrski [523]3 years ago

8 0

Answer:

80, -160, 320

Step-by-step explanation:

5,-10,20,-40

It's a Geometric sequence with:

r = -10/5 = -2

-40 × -2 = 80

80 × -2 = -160

-160 × -2 = 320

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The width-to-height ratio of a certain computer monitor

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<h2>24 inches</h2>

Step-by-step explanation:

It is given that $\frac{\textbf{width of computer monitor}}{\textbf{height of computer monitor}}=\frac{16}{9}$

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3 years ago

Si un número divisible entre 3 también es divisible entre 6

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Step-by-step explanation:

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3 years ago

How does one find the inverse function of f(x)= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3x-1%7D" id="TexFormula1" tit

lisabon 2012 [21]

Answer:

$\displaystyle f^{-1}(x)=\frac{1+x}{3x}$

Step-by-step explanation:

<u>The Inverse of a Function</u>

The procedure to find the inverse of the function is:

* Write the function as a two-variable equation:

$\displaystyle y=\frac{1}{3x-1}$

* Solve the equation for x.

Multiply by 3x-1

$y(3x-1)=1$

Divide by y:

$\displaystyle 3x-1=\frac{1}{y}$

Sum 1:

$\displaystyle 3x=\frac{1}{y}+1$

Operate the right side:

$\displaystyle 3x=\frac{1+y}{y}$

Divide by 3:

$\displaystyle x=\frac{1+y}{3y}$

* Swap the variables:

$\displaystyle y=\frac{1+x}{3x}$

Write back into function form:

$\boxed{\displaystyle f^{-1}(x)=\frac{1+x}{3x}}$

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3 years ago