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4 years ago

How do I write the rule for the nth term of the sequence -4, 8, -12, 16?

Mathematics

1 answer:

SVETLANKA909090 [29]4 years ago

6 0

Answer:

Step-by-step explanation:

The result of adding a number plus the next number will be alternating 4,-4,4,-4,4,-4......

-4+8 = 4

8+ -12= -4

-12 +16 =4

16+-20=-4

-20 + 24=4

24+-28 = -4

So you need to calculate what number plus the previous number has as result 4 or -4 alternating

8 + ? = -4

?= -4 -8

?=-12

-12+? =4 ?=12+4 ?=16

16+? =-4 / = -16-4 ?=-20

ANOTHER METHOD

4*-1=-4

4*2=8

4*-3=-12

4*4 = 16

4*-5=-20

4*6=24

4*-7=-28

4*8=32

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a circle has a center at (-2,7). if a point on the circle has coordinates (3,-1) then which of the following would be the length

pickupchik [31]

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3 years ago

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Please help!!

bogdanovich [222]

Answer:

Rent in 10th year = $5345.90

Step-by-step explanation:

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3 years ago

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We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden

True [87]

Answer:

The minimum number of cities we need to contact is 96.

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 interval $1-\alpha$ , we have the following confidence interval of proportions.

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

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence interval

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

In this problem, we have that:

$p = 0.5, M = 0.1$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}$

$0.1\sqrt{n} = 0.98$

$\sqrt{n} = 9.8$

$(\sqrt{n})^{2} = (9.8)^{2}$

$n = 96$

The minimum number of cities we need to contact is 96.

8 0

3 years ago

Write the interval (5,100] as an inequality and using set notation

drek231 [11]

Answer: { x | 5 < x ≤ 100 } OR { x ∈ ℝ | 5 < x ≤ 100 }

Step-by-step explanation:

{ x | 5 < x ≤ 100 }

This means:

"The set of all x's, such that x is greater than 5 and less than or equal to 100"

Another acceptable way to write this is

{ x ∈ ℝ | 5 < x ≤ 100 }

"x ∈ ℝ" simply means x is an element of all real numbers

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3 years ago

The sum of the reciprocals of two consecutive odd integers is 24/143. find the two integers.

nordsb [41]

Let one integer be x, the consecutive odd integer is x+2
reciprocals are 1/x and 1/(x+2)
1/x +1/(x+2)=24/143
make the denominators the same:
(x+2)/[x(x+2)] +x/[x(x+2)]=24/143
143(2x+2)=24(x)(x+2)
286x+286=24x²+48x
24x²-238x-286=0
use the quadratic formula: x=22 this doesn't work because 22 is not an odd number.
or x=-2.1666666666 (this is not an integer)

weird.

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3 years ago