MATHEMATICS COLLEGE

Which recursive formula defines this sequence for n > 1?3, 6, 9, 12, 15, 18, ...


Question 4 options:


an=3an−1


an=an−1+3


an=13an−1


an=an−1−3

Answers

Answer 1
Answer:

Answer:

(B)a_n=a_(n-1)+3

Step-by-step explanation:

Given the sequence: 3, 6, 9, 12, 15, 18, ...

6=3+3

9=6+3

12=9+3

If we continue in like manner, we notice that the nth term (a_n) is an addition of 3 to the previous term (a_(n-1)).

Therefore (for n>1), the recursive formula which defines the sequence is:

a_n=a_(n-1)+3

The correct option is B

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Find the slope of the line that asses through the pair of oints (17,11) and (21,19)

Answers

Answer:

The slope of the two points is 2. (8/4)

Answer:

The slope of the two points is 2. (8/4)

Step-by-step explanation:

thats it

A. 35/12
B. 12/37
C. 12/35
D. 35/37

Answers

Answer:

A

Step-by-step explanation:

Use the SOH CAH TOA

Tangent = Opposite / adjacent

tan (a) = 35 / 12

Answer:

the answer is obviously going to be a

Will the quotient of 5 divided by 7/8 be greater than or less than 5? explain

Answers

Answer:

7/8 x 5/1 = 35. 35/8= 4.375 is less than 5

Step-by-step explanation:

Answer:

Greater

Step-by-step explanation:

If you divide 5 by 7/8, you will get 40/7. Convert to a decimal to compare, and you will see that 5<5.7

In a University of Wisconsin (UW) study about alcohol abuse among students, 100 of the 40,858 members of the student body in Madison were sampled and asked to complete a questionnaire. One question asked was, "On how many days in the past week did you consume at least one alcoholic drink?" a. Identify the population and the sample. b. For the 40,858 students at UW, one characteristic of interest was the percentage who would respond "zero" to this question. For the 100 students sampled, suppose 29% gave this response. Does this mean that 29% of the entire population of UW students would make this response? Explain.

Answers

Answer:

a) The population is 40,858 students and the sample is 100.

b) No

Step-by-step explanation:

a) The population would be the 40,858 members of the student body. Since we are only applying the questionnaire to 100 students, the sample would be 100.

b) 29% of the students answered "zero" to the question on how many days in the past week they consumed at least one alcoholic drink. This means that 29 out of 100 students gave this answer. However, this doesn't mean that 29% of the entire population of UW would give this response. Why is that? Because our sample is very small so it might not be representative of the whole population. Equally, the results from such a sample cannot be exactly the same results we would get from an entire population.

What is 28% of 250 Takis?

Answers

The answer is 70.......

Answer:

28% of 250 is 70

Step-by-step explanation:

If you turn 28% into a decimal it will turn into 0.28 so then multiply that by 250 and you'll get 70

The midpoint of AB is M=(3, 1). One endpoint is A=(-1, -1).Find the coordinates of the other endpoint, B.

Answers

Answer:

(7, 3)

Step-by-step explanation:

Given segment AB, where:

  • A = (-1, -1)

Mid point

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  • Point B = (x, y)

As per mid point formula:

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  • (-1 + y)/2 = 1 ⇒ -1 + y = 2 ⇒ y = 2 + 1 = 3

So, the point B is:

  • B = (7, 3)
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