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Chapter 12: Q. 39 (page 816)
Find each sum.
The sum of the given sequence is.
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In Problems 29–36, the given pattern continues. Write down the nth term of a sequence suggested by the pattern.
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In Problems 51–66, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.
In Problems 51–60, write out each sum.
In a(n) ______sequence the ratio of successive terms is a constant.
A pond currently has 2000 trout in it. A fish hatchery decides to add an additional 20 trout each month. In addition, it is known that the trout population is growing 3% per month. The size of the population after n months is given by the recursively defined sequence.
(a) How many trout are in the pond at the end of the second month? That is, what is p2?
(b) Using a graphing utility, determine how long it will be
before the trout population reaches 5000.
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