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# Solutions for Chapter 8.1: Sequences

## Full solutions for Calculus of A Single Variable | 7th Edition

ISBN: 9780618149162

Solutions for Chapter 8.1: Sequences

Solutions for Chapter 8.1
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##### ISBN: 9780618149162

This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Since 118 problems in chapter 8.1: Sequences have been answered, more than 23374 students have viewed full step-by-step solutions from this chapter. Chapter 8.1: Sequences includes 118 full step-by-step solutions. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Algebraic expression

A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Constant of variation

See Power function.

• Double-angle identity

An identity involving a trigonometric function of 2u

• Extracting square roots

A method for solving equations in the form x 2 = k.

• Head minus tail (HMT) rule

An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

• Initial side of an angle

See Angle.

See Polynomial function in x

See Polynomial function in x.

• Length of a vector

See Magnitude of a vector.

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Periodic function

A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

• Random variable

A function that assigns real-number values to the outcomes in a sample space.

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Row operations

See Elementary row operations.

• Sphere

A set of points in Cartesian space equally distant from a fixed point called the center.

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Terms of a sequence

The range elements of a sequence.

• Vertical component

See Component form of a vector.

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