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umka21 [38]
3 years ago
12

Match each sequence to its appropriate recursively defined function

Mathematics
1 answer:
aniked [119]3 years ago
7 0

Answer:

  • f(1) = -24; f(n) = 4·f(n-1)
  • f(1) = 13; f(n) = f(n-1) + 26
  • f(1) = 28; f(n) = -4·f(n-1)

Step-by-step explanation:

Identify the first term of the sequence. First terms are -24, 13, 28. Find the matching f(1). There are two choices for each first term.

Then determine the relation of each term to the previous term. In two of the sequences, a factor of 4 is involved. For the sequence starting with -24, the adjacent terms have the same sign, so the factor is +4. For the sequence starting with 28, adjacent terms have alternating signs, so the factor is -4.

For the sequence starting with 13, the second term is 3 times the first, but it is also 26 added to the first. You have to look at the next term to see if the sequence is geometric with a ratio of 3, or arithmetic with a difference of 26. The latter is the case, so the recursive definition will involve addition, not multiplication.

The recursively defined functions are shown above in the order of the given sequences.

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The circumference of a circular field is 200.96 meters. What is the diameter of the field? Use 3.14.
artcher [175]

Answer:

1262.0288

Step-by-step explanation:

2×3.14×200.96

3 0
3 years ago
When analyzing the list of nouns to determine whether to exclude a particular noun as an important "thing," which of the followi
anyanavicka [17]
<h2>Answer:</h2>

<em><u>(a) Is it an output from the system? </u></em>

<em><u>(d) Is it a synonym of an existing thing?</u></em>

<h2>Step-by-step explanation:</h2>

In the question,

We have a list of nouns and we need to determine whether a particular noun should be excluded by identifying particular noun as an important 'thing'.

So, to identify it as a noun we can ask two questions which will distinguish between the same.

<u>(a) Is it an output from the system? </u>

It is one of the questions that can be asked because if the thing is an output from a system it will be definitely existing in real therefore, we can identify from this.

<u>(d) Is it a synonym of an existing thing?</u>

By asking this we can also confirm whether a particular thing is a noun or not because if the thing will be a synonym for an already existing material, it definitely will be a Noun.

<em><u>Therefore, the correct option is (a) and (d).</u></em>

8 0
3 years ago
After he finished breakfast, Mr. Edwards left for work at fifteen minutes after seven. what time is this? Use a.m. or p.m.
Alex Ar [27]
7:15 AM

it is 15 minutes after 7 so 7:00 + 0:15 = 7:15
also breakfast is eaten in the morning so AM is right
6 0
3 years ago
Graph for 4x + 3y = -3
Serga [27]

Answer:

Your answer is: Slope = -\frac{4}{3} Y-intercept = (0,-1)

Graph the line using the slope and y-intercept, or two points.

Step-by-step explanation:

Graph Below : ↓

Hope this helped : )

6 0
3 years ago
Write each ratio as a fraction in lowest terms. 8 to 9​
3241004551 [841]

Answer:

8/17 and 9/17

Step-by-step explanation:

8:9

both add up to 17

so it can be 8/17 or 9 but it cannot be simplified unless if you want them both as a mixed number which is

8/17 as a mixed number is 2 1/17

9/17 as a mixed number is 1 8/17

8 0
3 years ago
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