 12.1: A sequence is a function whose domain is .
 12.2: The nth partial sum of a sequence is the sum of the firstterms of t...
 12.3: Terms of a Sequence Find the first four terms and the100th term of ...
 12.4: Terms of a Sequence Find the first four terms and the100th term of ...
 12.5: Terms of a Sequence Find the first four terms and the100th term of ...
 12.6: Terms of a Sequence Find the first four terms and the100th term of ...
 12.7: Terms of a Sequence Find the first four terms and the100th term of ...
 12.8: Terms of a Sequence Find the first four terms and the100th term of ...
 12.9: Terms of a Sequence Find the first four terms and the100th term of ...
 12.10: Terms of a Sequence Find the first four terms and the100th term of ...
 12.11: Terms of a Sequence Find the first four terms and the100th term of ...
 12.12: Terms of a Sequence Find the first four terms and the100th term of ...
 12.13: Terms of a Sequence Find the first four terms and the100th term of ...
 12.14: Terms of a Sequence Find the first four terms and the100th term of ...
 12.15: Recursive Sequences A sequence is defined recursivelyby the given f...
 12.16: Recursive Sequences A sequence is defined recursivelyby the given f...
 12.17: Recursive Sequences A sequence is defined recursivelyby the given f...
 12.18: Recursive Sequences A sequence is defined recursivelyby the given f...
 12.19: Recursive Sequences A sequence is defined recursivelyby the given f...
 12.20: Recursive Sequences A sequence is defined recursivelyby the given f...
 12.21: Terms of a Sequence Use a graphing calculator todo the following. (...
 12.22: Terms of a Sequence Use a graphing calculator todo the following. (...
 12.23: Terms of a Sequence Use a graphing calculator todo the following. (...
 12.24: Terms of a Sequence Use a graphing calculator todo the following. (...
 12.25: Terms of a Sequence Use a graphing calculator todo the following. (...
 12.26: Terms of a Sequence Use a graphing calculator todo the following. (...
 12.27: nth term of a Sequence Find the nth term of asequence whose first s...
 12.28: nth term of a Sequence Find the nth term of asequence whose first s...
 12.29: nth term of a Sequence Find the nth term of asequence whose first s...
 12.30: nth term of a Sequence Find the nth term of asequence whose first s...
 12.31: nth term of a Sequence Find the nth term of asequence whose first s...
 12.32: nth term of a Sequence Find the nth term of asequence whose first s...
 12.33: nth term of a Sequence Find the nth term of asequence whose first s...
 12.34: nth term of a Sequence Find the nth term of asequence whose first s...
 12.35: nth term of a Sequence Find the nth term of asequence whose first s...
 12.36: nth term of a Sequence Find the nth term of asequence whose first s...
 12.37: nth term of a Sequence Find the nth term of asequence whose first s...
 12.38: nth term of a Sequence Find the nth term of asequence whose first s...
 12.39: Partial Sums Find the first six partial sums S1, S2, S3,S4, S5, S6 ...
 12.40: Partial Sums Find the first six partial sums S1, S2, S3,S4, S5, S6 ...
 12.41: Partial Sums Find the first six partial sums S1, S2, S3,S4, S5, S6 ...
 12.42: Partial Sums Find the first six partial sums S1, S2, S3,S4, S5, S6 ...
 12.43: nth Partial Sum Find the first four partial sums andthe nth partial...
 12.44: nth Partial Sum Find the first four partial sums andthe nth partial...
 12.45: nth Partial Sum Find the first four partial sums andthe nth partial...
 12.46: nth Partial Sum Find the first four partial sums andthe nth partial...
 12.47: Evaluating a Sum Find the sum.4k1k
 12.48: Evaluating a Sum Find the sum.a4k1k
 12.49: Evaluating a Sum Find the sum.a3k11k
 12.50: Evaluating a Sum Find the sum.a100j1112
 12.51: Evaluating a Sum Find the sum.a8i131 112i 4
 12.52: Evaluating a Sum Find the sum.12i410
 12.53: Evaluating a Sum Find the sum.5k12k1
 12.54: Evaluating a Sum Find the sum.a3i1i 2i
 12.55: Evaluating a Sum Use a graphing calculator to evaluatethe sum.10k1k2
 12.56: Evaluating a Sum Use a graphing calculator to evaluatethe sum.100k1...
 12.57: Evaluating a Sum Use a graphing calculator to evaluatethe sum.a20j7...
 12.58: Evaluating a Sum Use a graphing calculator to evaluatethe sum.a15j5...
 12.59: Evaluating a Sum Use a graphing calculator to evaluatethe sum.22n01...
 12.60: Evaluating a Sum Use a graphing calculator to evaluatethe sum.100n1...
 12.61: Sigma Notation Write the sum without using sigmanotation.4k1k3
 12.62: Sigma Notation Write the sum without using sigmanotation.4j1j 1j 1
 12.63: Sigma Notation Write the sum without using sigmanotation.a6k0!k 4
 12.64: Sigma Notation Write the sum without using sigmanotation.a9k6k1k 32
 12.65: Sigma Notation Write the sum without using sigmanotation.100k3xk
 12.66: Sigma Notation Write the sum without using sigmanotation.nj1112j1xj
 12.67: Sigma Notation Write the sum using sigma notation.2 4 6 . . . 50
 12.68: Sigma Notation Write the sum using sigma notation.2 5 8 . . . 29
 12.69: Sigma Notation Write the sum using sigma notation.12 22 32 . . . 102
 12.70: Sigma Notation Write the sum using sigma notation.2 ln 213 ln 314 l...
 12.71: Sigma Notation Write the sum using sigma notation.1 # 212 # 313 # 4...
 12.72: Sigma Notation Write the sum using sigma notation.!112 !222 !332 . ...
 12.73: Sigma Notation Write the sum using sigma notation.1 x x2 x3 . . . x100
 12.74: Sigma Notation Write the sum using sigma notation.1 2x 3x2 4x3 5x4 ...
 12.75: nth Term of a Sequence Find a formula for the nth term ofthe sequen...
 12.76: Comparing a Sequence to the Fibonacci Sequence Definethe sequenceGn...
 12.77: Compound Interest Julio deposits $2000 in a savingsaccount that pay...
 12.78: Compound Interest Helen deposits $100 at the end of eachmonth into ...
 12.79: Population of a City A city was incorporated in 2004 with apopulati...
 12.80: Paying off a Debt Margarita borrows $10,000 from heruncleand agrees...
 12.81: Fish Farming A fish farmer has 5000 catfish in his pond.The number ...
 12.82: Price of a House The median price of a house in OrangeCounty increa...
 12.83: Salary Increases A newly hired salesman is promised abeginning sala...
 12.84: Concentration of a Solution A biologist is trying to find theoptima...
 12.85: Fibonaccis Rabbits Fibonacci posed the following problem:Suppose th...
 12.86: DISCO VER prove: D ifferent Sequences That Start the Same(a) Show t...
 12.87: discuss: A Recursively Defined Sequence Find the first40 terms of t...
 12.88: discuss: A Different Type of Recursion Find the firstten terms of t...
 12.89: Bouncing Ball A ball is dropped from a height of 80 ft. Theelastici...
 12.90: Bacteria Culture A culture initially has 5000 bacteria, andits size...
 12.91: Mixing Coolant A truck radiator holds 5 gal and is filledwith water...
 12.92: Musical Frequencies The frequencies of musical notes(measured in cy...
 12.93: Bouncing Ball A ball is dropped from a height of 9 ft. Theelasticit...
 12.94: Geometric Savings Plan A very patient woman wishes tobecome a billi...
 12.95: St. Ives The following is a wellknown childrens rhyme:As I was goi...
 12.96: Drug Concentration A certain drug is administered once aday. The co...
 12.97: Bouncing Ball A certain ball rebounds to half the heightfrom which ...
 12.98: Bouncing Ball If the ball in Exercise 97 is dropped froma height of...
 12.99: Geometry The midpoints of the sides of a square of side 1are joined...
 12.100: Geometry A circular disk of radius R is cut out of paper,as shown i...
 12.101: Geometry A yellow square of side 1 is divided into ninesmaller squa...
 12.102: PROVE: Reciprocals of a Geometric Sequence If a1, a2,a3, . . . is a...
 12.103: PROVE: L ogarithms of a Geometric Sequence If a1, a2,a3, . . . is a...
 12.104: PROVE: E xponentials of an Arithmetic Sequence If a1, a2,a3, . . . ...
Solutions for Chapter 12: Sequences and Series
Full solutions for Precalculus: Mathematics for Calculus (Standalone Book)  7th Edition
ISBN: 9781305071759
Solutions for Chapter 12: Sequences and Series
Get Full SolutionsChapter 12: Sequences and Series includes 104 full stepbystep solutions. Since 104 problems in chapter 12: Sequences and Series have been answered, more than 5139 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus: Mathematics for Calculus (Standalone Book), edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus: Mathematics for Calculus (Standalone Book) was written by and is associated to the ISBN: 9781305071759.

Differentiable at x = a
ƒ'(a) exists

equation of a hyperbola
(x  h)2 a2  (y  k)2 b2 = 1 or (y  k)2 a2  (x  h)2 b2 = 1

Factor
In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

Firstdegree equation in x , y, and z
An equation that can be written in the form.

Gaussian elimination
A method of solving a system of n linear equations in n unknowns.

Graph of an equation in x and y
The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

Inverse properties
a + 1a2 = 0, a # 1a

Limaçon
A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

Mode of a data set
The category or number that occurs most frequently in the set.

Negative numbers
Real numbers shown to the left of the origin on a number line.

Obtuse triangle
A triangle in which one angle is greater than 90°.

Parameter
See Parametric equations.

Range (in statistics)
The difference between the greatest and least values in a data set.

Rational expression
An expression that can be written as a ratio of two polynomials.

Rational zeros theorem
A procedure for finding the possible rational zeros of a polynomial.

Real zeros
Zeros of a function that are real numbers.

Richter scale
A logarithmic scale used in measuring the intensity of an earthquake.

Sine
The function y = sin x.

Vertical stretch or shrink
See Stretch, Shrink.

Zero factorial
See n factorial.