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Chapter 12: Q. 2 (page 838)

In Problems 1鈥� 4, write down the first five terms of each sequence.

cn=2nn2

Short Answer

Expert verified

First five terms of the sequence: 2,1,89,1,3225.

Step by step solution

01

Given information.

General term of the sequence:

cn=2nn2

02

Step 2. Substitute first five integral value of n in the expression cn and solve.

First term is:

c1=2112=2

Second term:

c2=2222=1

Third term:

c3=2332=89

Fourth term:

c4=2442=1

Fifth term:

c5=2552=3225

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Most popular questions from this chapter

In Problems 51鈥�66, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.

2+43+89+....

In Problems 29鈥�36, the given pattern continues. Write down the nth term of a sequencean suggested by the pattern.

23,49,827,1681,...

In Problems 17鈥�28, write down the first five terms of each sequence.

bn=nen

In Problems 17鈥�28, write down the first five terms of each sequence.

an=nn+2

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.

p0=2000;pn=1.03pn-1+20

(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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