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Papessa [141]
3 years ago
13

What is the explicit formula for the geometric sequence with this recursive formula?

Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
7 0

Answer:

 A     an = -3 * (1/8) ^ (n-1)

Step-by-step explanation:

We know the first term a1 = -3

And the common ratio  r = 1/8 from the an = an-1 * 1/8

The explicit formula is

an = a1 r^ (n-1)

an = -3 * (1/8) ^ (n-1)

Alex17521 [72]3 years ago
6 0

Answer:

A

Step-by-step explanation:

a₁ = -3  ------>  first term

r ----> common ratio

a_{n}=a_{n-1}*\frac{1}{8}\\\\r=\frac{1}{8}\\\\a_{n}=a_{1}*r^{n-1}\\\\a_{n}=-3*(\frac{1}{8})^{n-1}

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the logarmithmic functions, f(x)=logx and g(x), are shown on the graph. what is the equation that represents g(x)? explain.​
mestny [16]

Answer:

g(x) = log(x+1) + 4

Step-by-step explanation:

If a curve has been translated (shifted or slid) you can add to or subtract from the x to show horizontal (left or right) shifts and add or subtract a number tacked onto the end of the equation to cause the vertical shift (up or down).

The curve for g(x) is shifted left 1 unit. So change the x to x+1. Left and right shifts are a little backwards from what you might think. But left shift is a +1.

Vertical shifts adjust the way you would think they should. UP shift 4 units is a +4 on the end of the equation. See image.

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Most of the information's are already given in the question. It is important to understand the language of the problem for solving the problem. Once the language is understood, then solving the problem is easy.
Let us assume the number of black jelly beans = x
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Step-by-step explanation:

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6 0
3 years ago
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A line has a rise of 6 and a slope of 1/20 . What is the run?
Lerok [7]

Answer:

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Step-by-step explanation:

\text{ Slope }=\frac{\text{ Rise }}{\text{ Run }}.

Plug in the information given:

\frac{1}{20}=\frac{6}{\text{ Run }}.

Now we want to solve this equation for Run.

If you don't like Run as a variable, let's just use x in it's place:

\frac{1}{20}=\frac{6}{x}

Cross multiply:

1(x)=20(6)

Simplify both sides:

x=120

The run is 120.

Let's check our work.

\text{ Slope }=\frac{\text{ Rise }}{\text{ Run }}.

So if our rise is 6 and our run is 120.

Does 6/120 reduce to 1/20?

6 and 120 do have a common factor of 6.

So if you divide top and bottom of 6/120 by 6 you do get 1/20.

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3 years ago
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