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malfutka [58]
2 years ago
5

A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?

Mathematics
2 answers:
Flauer [41]2 years ago
6 0

Answer:

Option C. 3, -2, -7, -12....

Step-by-step explanation:

The sequence is defined recursively using the formula f(n+1) = f(n) - 5

We have to identify the sequence generated by this formula.

B). 1, -5, 25, -125.....

f(n+1) = -5 and f(n) = 1

Therefore - 5 = 1 - 5

⇒ -5 ≠ -4

This sequence is not following the formula.

B). 2, 10, 50, 250.........

f(n+1) = 10 and f(n) = 2

Now we use the formula

10 = 2 - 5

10 ≠ -3

This sequence is not following the formula.

C). 3, -2, -7, -12

f(n+1) = -2 and f(n) = 3

We put this value in the formula

-2 = 3 - 5

-2 = -2

Therefore , the sequence is following the formula.

D). 4, 9, 14, 19........

f(n+1) = 9 and f(n) = 4

9 = 4 - 5

9 ≠ -1

Therefore the formula is not applicable to form this sequence.

Option C. is the answer.

MariettaO [177]2 years ago
5 0

The answer is 3, –2, –7, –12

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2 years ago
Select the expressions that are equivalent to 18m - 12.
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Answer:

All the expressions other than option E, is equivalent to the expression 18m - 12.

Step-by-step explanation:

A. 6m - 4 + 6m -4 + 6m - 4

or 6m+6m+6m -4 -4 -4

or 18m -12

B. 12m + 6 - 6m -6

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or 18m - 12

D.3(6m - 4)

or 18m - 12

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4 0
2 years ago
According to a human modeling​ project, the distribution of foot lengths of women is approximately Normal with a mean of 23.3 ce
Yakvenalex [24]

Answer:

26.11% of women in the United States will wear a size 6 or​ smaller

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 23.3, \sigma = 1.4

In the United​ States, a​ woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or​ smaller?

This is the pvalue of Z when X = 22.4. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{22.4 - 23.3}{1.4}

Z = -0.64

Z = -0.64 has a pvalue of 0.2611

26.11% of women in the United States will wear a size 6 or​ smaller

8 0
2 years ago
A catering company prepared and served 300 meals at an anniversary celebration last week using eight workers. The week before, s
swat32

Answer:

II case.

Step-by-step explanation:

Given that a catering company prepared and served 300 meals at an anniversary celebration last week using eight workers.

The week before, six workers prepared and served 240 meals at a wedding reception.

Productivity is normally measured by number of outputs/number of inputs

Here we can measure productivity as

no of meals served/no of workers

In the I case productivity =\frac{300}{8} \\=37.5

In the II case productivity = \frac{240}{6} \\=40

Obviously II case productivity is more as per worker 40 meals were served which is more than 37.5 meals per worker in the I case.

3 0
1 year ago
In what line do planes A and QRV intersect?
BabaBlast [244]

Answer:

Plane A and QRV intersection line is QR.

Explanation:

The plane QRV contains the rectangle QRVN. This rectangle intersects the plane A in the line QR.

Plane A and QRV intersection line is QR.

If one knows a specific line in one plane (for example, two points in the plane), and this line intersects the other plane, then its point of intersection.

Thus, it is on the line of intersection for the two planes.


6 0
2 years ago
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