A colony of an animal begins with one pair of mature​ animals, which will produce a pair of offspring​ (one male, one​ female) each month.Assume that all animals mature in 1 month and produce a pair of offspring​ (one male, one​female) after 2 months. If no animals ever​ die, how many pairs of mature animals are there after 5 months? (Hint: A Fibonacci sequence models this​ colony.)       The number of pairs of mature animals after 5  months is.   ?

Q: Find the sum of the first five odd terms of the Fibonacci sequence.

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Q: F21 - 5F, = %3D (4F, + F,, )/2 = (3F,3)/6 = %3D

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Q: If F, = 6 and F2 = 3, list the first 8 terms of this Fibonacci-type sequence.

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Q: Find the exponential generating function for the sequence 0!, 1!, 2!, 3!,...

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Q: Section 12.3)Find the sum (if it exists) of the infinite series

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Q: Imagine you have a barrel that contains thousands of candies with several different colors. We know…

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Q: Consider the following situations that generate a sequence.a. Write out the first five terms of the…

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Q: A colony of an animal begins with one pair of mature animals, which will produce a pair of offspring…

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Q: 5. For this week's Newsletter Mr. Ford submitted how Fernando Tatis Jr.'s $340 million, 14-year…

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Q: 2. 5, 7,9, .. , 27

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Q: If a sequence is unbounded, then it diverges. True or False?

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Q: How many four-letter sequences are possible that use the letters c, r, h, e once each?

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Q: many black balls are need

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.