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3 years ago

Determine whether the sequence is geometric. If so, find the common ratio. 3.0, 6.0, 12.0, 24.0

Mathematics

1 answer:

Luba_88 [7]3 years ago

6 0

Answer:

The sequence is geometric and the common ratio is 2

Step-by-step explanation:

A sequence is geometric if each term (after the first one) is equal to the term before it times some constant number, called the 'common ratio'.

Examples: 1, 2, 4, 8, 16, ... has a common ratio of 2 because 2*2 = 4, and 4*2 = 8, and so on.

Also, --> 4, 2, 1, 1/2, 1/4/ 1/8, ... has a common ratio of 1/2 because

4 * 1/2 = the next term 2, and 2 * 1/2 = the next trem 1/4, and son on.

In this case, 3 * 2 = 6

6 * 2 = 12

12 * 2 = 24

The sequence is geometric and the common ratio is 2

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3 years ago

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goblinko [34]

Answer: C

Step-by-step explanation:

To find the surface area of a cone, you use the formula $A=\pi r(r+\sqrt{h^2+r^2} )$ . Since we are already given the height and radius, all we have to do is plug in the values and solve.

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3 years ago

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Dvinal [7]

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3 years ago

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ki77a [65]

Well, you transform the standard form equation into slope-intercept form (y=mx+b), since you can only graph it using this form.

First of all, the layout of the equation is $Ax+By=C$

So, in this case, A is 2, B is 5, and C is 25.

Now, to put it into slope intercept form, you either use the formula to change it and solve it:

$y= \frac{-A}{B}x+ \frac{C}{B} \\ y= \frac{-2}{-5}x+ \frac{25}{-5} \\ \\ y= \frac{2}{5}x-5$

Or you can just solve for y:

$2x-5y=25 \\ 2x-5y-2x=25-2x \\ -5y=-2x+25 \\ \frac{-5y}{-5}= \frac{-2x+25}{-5} \\ \\ y= \frac{2}{5}x-5$

In addition, I attached what the graph looks like.

Hope this helps!

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3 years ago