 10.4.1: In Exercises 1 4, a statement about the positive integers is given....
 10.4.2: In Exercises 1 4, a statement about the positive integers is given....
 10.4.3: In Exercises 1 4, a statement about the positive integers is given....
 10.4.4: In Exercises 1 4, a statement about the positive integers is given....
 10.4.5: In Exercises 5 10, a statement about the positive integers is given...
 10.4.6: In Exercises 5 10, a statement about the positive integers is given...
 10.4.7: In Exercises 5 10, a statement about the positive integers is given...
 10.4.8: In Exercises 5 10, a statement about the positive integers is given...
 10.4.9: In Exercises 5 10, a statement about the positive integers is given...
 10.4.10: In Exercises 5 10, a statement about the positive integers is given...
 10.4.11: In Exercises 11 24, use mathematical induction to prove that each s...
 10.4.12: In Exercises 11 24, use mathematical induction to prove that each s...
 10.4.13: In Exercises 11 24, use mathematical induction to prove that each s...
 10.4.14: In Exercises 11 24, use mathematical induction to prove that each s...
 10.4.15: In Exercises 11 24, use mathematical induction to prove that each s...
 10.4.16: In Exercises 11 24, use mathematical induction to prove that each s...
 10.4.17: In Exercises 11 24, use mathematical induction to prove that each s...
 10.4.18: In Exercises 11 24, use mathematical induction to prove that each s...
 10.4.19: In Exercises 11 24, use mathematical induction to prove that each s...
 10.4.20: In Exercises 11 24, use mathematical induction to prove that each s...
 10.4.21: In Exercises 11 24, use mathematical induction to prove that each s...
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 10.4.23: In Exercises 11 24, use mathematical induction to prove that each s...
 10.4.24: In Exercises 11 24, use mathematical induction to prove that each s...
 10.4.25: In Exercises 25 34, use mathematical induction to prove that each s...
 10.4.26: In Exercises 25 34, use mathematical induction to prove that each s...
 10.4.27: In Exercises 25 34, use mathematical induction to prove that each s...
 10.4.28: In Exercises 25 34, use mathematical induction to prove that each s...
 10.4.29: In Exercises 25 34, use mathematical induction to prove that each s...
 10.4.30: In Exercises 25 34, use mathematical induction to prove that each s...
 10.4.31: In Exercises 25 34, use mathematical induction to prove that each s...
 10.4.32: In Exercises 25 34, use mathematical induction to prove that each s...
 10.4.33: In Exercises 25 34, use mathematical induction to prove that each s...
 10.4.34: In Exercises 25 34, use mathematical induction to prove that each s...
 10.4.35: Explain how to use mathematical induction to prove that a statement...
 10.4.36: Consider the statement given by Although are true, is false. Verify...
 10.4.37: I use mathematical induction to prove that statements are true for ...
 10.4.38: I begin proofs by mathematical induction by writing and both of whi...
 10.4.39: When a line of falling dominoes is used to illustrate the principle...
 10.4.40: This triangular arrangement of 36 circles illustrates that
 10.4.41: Some statements are false for the first few positive integers, but ...
 10.4.42: Some statements are false for the first few positive integers, but ...
 10.4.43: In Exercises 43 44, find through and then use the pattern to make a...
 10.4.44: In Exercises 43 44, find through and then use the pattern to make a...
 10.4.45: Fermat s most notorious theorem, described in the section opener on...
 10.4.46: Exercises 46 48 will help you prepare for the material covered in t...
 10.4.47: Exercises 46 48 will help you prepare for the material covered in t...
 10.4.48: Exercises 46 48 will help you prepare for the material covered in t...
Solutions for Chapter 10.4: Mathematical Induction
Full solutions for Precalculus  4th Edition
ISBN: 9780321559845
Solutions for Chapter 10.4: Mathematical Induction
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 48 problems in chapter 10.4: Mathematical Induction have been answered, more than 67309 students have viewed full stepbystep solutions from this chapter. Chapter 10.4: Mathematical Induction includes 48 full stepbystep solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Precalculus was written by and is associated to the ISBN: 9780321559845.

Arccosine function
See Inverse cosine function.

Bias
A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

Data
Facts collected for statistical purposes (singular form is datum)

Domain of validity of an identity
The set of values of the variable for which both sides of the identity are defined

Doubleangle identity
An identity involving a trigonometric function of 2u

Equal complex numbers
Complex numbers whose real parts are equal and whose imaginary parts are equal.

Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.

Frequency table (in statistics)
A table showing frequencies.

Graph of a polar equation
The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

Irrational zeros
Zeros of a function that are irrational numbers.

Linear factorization theorem
A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1  z1) 1x  i z 22 Á 1x  z n where the z1 are the zeros of ƒ

Linear inequality in x
An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

Polynomial function
A function in which ƒ(x)is a polynomial in x, p. 158.

Remainder theorem
If a polynomial f(x) is divided by x  c , the remainder is ƒ(c)

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

Statute mile
5280 feet.

System
A set of equations or inequalities.

Vector equation for a line in space
The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

Velocity
A vector that specifies the motion of an object in terms of its speed and direction.

Vertex of an angle
See Angle.