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scoray [572]
3 years ago
6

What sequence is modeled by the graph below?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0

ANSWER

a_n= \frac{1}{2}( {2}^{n - 1} )

EXPLANATION

The corresponding ordered pairs from the graph are:

(2,1) (3,2) (4,4) (5,8)

The y-values are:

1,2,4,8

The first term term is the term before 1,this has to be.

a_1= \frac{1}{2}

The common ratio is

r =  \frac{2}{1}  = 2

The nth term is given by

a_n=a_1 {(r}^{n - 1} )

Let's substitute the values to get,

a_n= \frac{1}{2} \times  {(2}^{n - 1} )

This simplifies to,

a_n= \frac{1}{2} {(2}^{n - 1} )

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Answer: The numbers are 1 and 3.

Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

x=\dfrac{y}{3}   ...(i)

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Put value of x from (i) in (ii)

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7 0
2 years ago
Solve the system using substitution.<br> 2x = 5y + 14<br> x = 5y
andrew-mc [135]

Answer:

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Step-by-step explanation:

To solve an equation, we can only have one variable. In this case, we are given the system 2x = 5y + 14. However, we are given the value of x in terms of y. We can substitute 10y in for 2x and solve.

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Now we check our answer.

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3 years ago
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2 years ago
Which stem-and-leaf plot represents the data 80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78?
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This is the required stem leaf plot.
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