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Chapter 9: Sequences, Series, and Probability

                                    Name: ___________________
                                    Period: __________________
                                    Date: ____________________
Across
Most graphing utilities can ___ the first n terms of a sequence.
In summation (sigma) notation, n is the _____ limit of summation.
Geometric sequences can help you model and solve real-life problems. For instance, in Exercise 86 on page 632, you will use a geometric sequence to model the ___________ of China from 2004 through 2010.
A convenient notation for the sum of the terms of a finite sequence is called summation notation or _____ notation.
The number d is the common __________ of the arithmetic sequence.
To define a sequence ___________, you need to be given one or more of the first few terms.
To graph a sequence using a graphing utility, set the mode to "sequence" and ____ and enter the sequence.
By arranging the coefficients in a triangular pattern, you obtain _____'s Triangle, named after the famous French mathematician.
In Example 8, note that the lower _____ does not have to be 1.
On occasion, it is convenient to begin _____________ a sequence with 0 instead of 1 so that the terms of the sequence become a0, a1, a2, a3, ... .
If n is a positive integer, then n __________ is defined as n! = 1 * 2 * 3 * 4 * ... (n-1) * n.
A(n) ________ sequence is a function whose domain is the set of positive integers.
Saying that a collection is listed in _________ means that it is ordered so that it has a first member, a second member, a third member, and so on.
The first and last numbers in each row of Pascal's ________ are 1.
Arithmetic sequences have many real-life applications. For instance, in Exercise 81 on page 622, you will use an arithmetic sequence to determine how far an object falls in 7 seconds from the top of the Willis ______ in Chicago.
A sequence is ________ when the ratios of consecutive terms are the same.
Every other number besides the first and last numbers in each row of Pascal's Triangle are formed by ______ the two numbers immediately above the number.
To find binomial coefficients, you can use the Binomial _______.
Mathematically, you can think of a sequence as a(n) ________ whose domain is the set of positive integers.
When the domain of the function consists of the first n positive integers only, the sequence is a(n) _______ sequence.
The sum of the terms of a finite or infinite sequence is called a(n) ______.
Down
When you know the nth term of a geometric sequence, you can find the (n+1)th term by ___________ by r.
_______ cultures were familiar with "Pascal's" Triangle and forms of the Binomial Theorem prior to the Western "discovery" of the theorem.
The nth term of a geometric sequence has the form an = a1*r^(n-1) where r is the common ratio of ____________ terms of the sequence.
The coefficients of a binomial expansion are called binomial ____________.
Summation notation is an instruction to ___ the terms of a sequence.
A convenient notation for the sum of the terms of a finite sequence is called ___________ notation or sigma notation.
Note that when the absolute value of r is greater than or equal to one, the geometric series does ___ have a sum.
Sequences and series can help you model real-life problems. For instance, in Exercise 98 on page 615, a sequence models the numbers of _____ cases reported from 2003 through 2010.
A sequence whose consecutive terms have a common difference is called a(n) __________ sequence.
When you know ANY two terms of a geometric sequence, you can use that information to find any _____ term of the sequence.
The sum of the first n terms of the sequence is called a finite series or the nth _______ sum of the sequence.
When you write the coefficients for a binomial that is raised to a power, you are _________ a binomial.
The subscripts of a sequence make up the domain of the sequence and serve to identify the _________ of terms within the sequence.
The function values a1, a2, a3, a4, ..., an, ... are the ______ of an infinite sequence.
When you know the nth term of an arithmetic sequence AND you know the common difference of the sequence, you can find the (n+1)th term by using the _________ formula.
The type of investment plan where you deposit money on the first day of each month in an account that pays interest over time, compounded monthly is called an increasing ________.
When r does not equal 0 or n, there is a _______ for evaluating binomial coefficients that works because there will always be factorial terms that divide out from the expression.
In summation (sigma) notation, the 1 is called the _____ limit of summation
When working with fractions involving factorials, you will often be able to _______ the fractions to simplify the computations.
The number r is the common ______ of the geometric sequence.
In summation (sigma) notation, the i is called the _____ of summation.