Solve each problem. See Example 6.
51.The number of mutual funds operating in the United States available to investors each
year during the period 2004 through 2008 is given in the table.684 CHAPTER 12 Sequences and Series
Source:Investment Company
Institute.Number of
Year Funds Available
2004 8041
2005 7975
2006 8117
2007 8024
2008 8022To the nearest whole number, what was the average number of funds available per year
during the given period?
52.The total assets of mutual funds operating in the
United States, in billions of dollars, for each year
during the period 2004 through 2008 are shown in
the table. What were the average assets per year
during this period?Source:Investment Company Institute.Year Assets (in billions of dollars)
2004 8107
2005 8905
2006 10,397
2007 12,000
2008 9601Find the values of a and d by solving each system. See Section 4.1.PREVIEW EXERCISES
53. 54.
a+ 2 d= 7a+ 7 d= 12
a+ 8 d= 22a+ 3 d= 1255.Evaluate a+ 1 n- 12 dfor , , and. a=- 2 n= 5 d= 3 See Section 1.3.OBJECTIVES OBJECTIVE 1 Find the common difference of an arithmetic sequence. In
this section, we introduce a special type of sequence that has many applications.
Arithmetic Sequences
12.2
1 Find the common
difference of an
arithmetic sequence.
2 Find the general
term of an
arithmetic sequence.
3 Use an arithmetic
sequence in an
application.
4 Find any specified
term or the number
of terms of an
arithmetic sequence.
5 Find the sum of a
specified number
of terms of an
arithmetic sequence.Arithmetic SequenceAn arithmetic sequence,or arithmetic progression,is a sequence in which each
term after the first is found by adding a constant number to the preceding term.
For example, the sequence
Arithmetic sequence