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UkoKoshka [18]
2 years ago
7

Questions 16-17. Suppose a tortoise is 1000 feet from the ocean. Each day the tortoise travels three-fifths of the remaining dis

tance to the ocean. Use this information to: Construct a model that represents the remaining distance that the tortoise must travel to reach the ocean.
Mathematics
1 answer:
Soloha48 [4]2 years ago
3 0

Answer:

  r(n) = 1000·(2/5)^n

Step-by-step explanation:

Since the tortoise travels 3/5 the remaining distance, the remaining distance at the end of the day is 2/5 of what it was at the beginning of the day. So, the function can be modeled by an exponential with a "growth" factor of 2/5:

  r(n) = 1000·(2/5)^n

where r(n) is the number of remaining feet after n days of travel.

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a. Write out the next sequence in (1)

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I. The first term of the sequence.

This is often represented by letter a.

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II. The common difference.

This is the difference between two successive sequence

This is often represented by letter d.

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Tn = 44 + (n - 1)(-3)

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It'll be observed that the visible data of sequence 2 are bigger than that of sequence 1.

To get a common number, we have to extend sequence 1 until we arrive at a common number in both sequence

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Sequence 1: 0, 4, 8, 12, 16, 20, 24, 28, 32.....

32 is common in sequence (1) and (2).

If the sequence is extended, we'll arrive at another common number. But we have to stop, since we've arrived at a common number.

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