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Nataly [62]
2 years ago
11

4, 16, 36, 64 is this a arithmetic sequence?

Mathematics
1 answer:
NemiM [27]2 years ago
8 0

Answer:The terms are given by the formula

a

n

=

4

n

2

where

n

=

1

,

2

,

3

,

...

Step-by-step explanation:Write out the original sequence:

4

,

16

,

36

,

64

Write out the sequence of differences of the sequence:

12

,

20

,

28

Since this is not constant, the sequence is not arithmetic.

Write out the sequence of differences of that sequence: 8,8

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Is anyone good at math and can help with this, or at least the first one and explain how to do it?​
Anna007 [38]

now, bear in mind that all these ones are lines, and to graph a line all you need is two points, so let's pick a couple of random values for say "x" and let's see what we get for "y" and that's our x,y point.

3)

9x+4y=-16\implies \stackrel{\textit{using x = 0}~\hfill }{9(0)+4y=-16}\implies 4y=-16 \\\\\\ y=\cfrac{-16}{4}\implies y=-4~\hspace{10em}(0~~,~~-4) \\\\[-0.35em] ~\dotfill\\\\ 9x+4y=-16\implies \stackrel{\textit{using x = -4}~\hfill }{9(-4)+4y=-16}\implies -36+4y=-16 \\\\\\ 4y=20\implies y = \cfrac{20}{4}\implies y = 5~\hspace{10em}(-4~~,~~5)

check the red line in the picture below.

4)

5x+2y=8\implies \stackrel{\textit{using x = 0}~\hfill }{5(0)+2y=8}\implies 2y=8\implies y=\cfrac{8}{2}\implies y=4 \\\\\\ ~\hspace{10em}~\hspace{10em}(0~~,~~4) \\\\\\ 5x+2y=8\implies \stackrel{\textit{using x = 4}~\hfill }{5(4)+2y=8}\implies 20+2y=8\implies 2y=-12 \\\\\\ y=\cfrac{-12}{2}\implies y=-6~\hspace{10em}(4~~,~~-6)

check the blue line in the picture below.

8 0
3 years ago
The length of a rectangle is 8 1/2
Goshia [24]

Answer:

34/13

Step-by-step explanation:

The length-to-width ratio here is:

8.5 / 3.25

which can be reduced by dividing numerator and denominator both by 0.25:

8.5/0.25

--------------- = 34/13

3.25/0.25

8 0
3 years ago
In a sample of 234 individuals over the age of 25, chosen at random from the state of Oregon, 48 did not have a high school dipl
Anna71 [15]

Answer:

The upper bound of a 95% confidence interval for the proportion of individuals over the age of 25 in Oregon who do not have a high school diploma is of 0.2568.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

In a sample of 234 individuals over the age of 25, chosen at random from the state of Oregon, 48 did not have a high school diploma.

This means that n = 234, \pi = \frac{48}{234} = 0.2051

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 + 1.96\sqrt{\frac{0.2051*0.7949}{234}} = 0.2568

The upper bound of a 95% confidence interval for the proportion of individuals over the age of 25 in Oregon who do not have a high school diploma is of 0.2568.

6 0
3 years ago
What is the number value of 5 in 124​
vekshin1

Answer:

0

Step-by-step explanation:

because 5 is no where in the number 124

6 0
3 years ago
Read 2 more answers
Evaluate the expression x= -2
Juli2301 [7.4K]

Answer:

x equals negative two

Step-by-step explanation:

that's how you would say it

7 0
4 years ago
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