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# Solutions for Chapter 9: SEQUENCES AND SERIES ## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612 Solutions for Chapter 9: SEQUENCES AND SERIES

Solutions for Chapter 9
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##### ISBN: 9780470888612

Since 98 problems in chapter 9: SEQUENCES AND SERIES have been answered, more than 43082 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 9: SEQUENCES AND SERIES includes 98 full step-by-step solutions. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6.

Key Calculus Terms and definitions covered in this textbook
• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Distance (in a coordinate plane)

The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

• Equally likely outcomes

Outcomes of an experiment that have the same probability of occurring.

• Five-number summary

The minimum, first quartile, median, third quartile, and maximum of a data set.

• Frequency

Reciprocal of the period of a sinusoid.

• Imaginary part of a complex number

See Complex number.

• Limit to growth

See Logistic growth function.

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• Logarithmic form

An equation written with logarithms instead of exponents

• Modulus

See Absolute value of a complex number.

• Number line graph of a linear inequality

The graph of the solutions of a linear inequality (in x) on a number line

• Polar equation

An equation in r and ?.

• Polar form of a complex number

See Trigonometric form of a complex number.

An angle in standard position whose terminal side lies on an axis.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Rational numbers

Numbers that can be written as a/b, where a and b are integers, and b ? 0.

• Slant line

A line that is neither horizontal nor vertical

• Sum of a finite geometric series

Sn = a111 - r n 2 1 - r

• Summation notation

The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

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