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# Solutions for Chapter 9.1: Sequences and Series

## Full solutions for Precalculus with Limits | 3rd Edition

ISBN: 9781133947202

Solutions for Chapter 9.1: Sequences and Series

Solutions for Chapter 9.1
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##### ISBN: 9781133947202

Since 107 problems in chapter 9.1: Sequences and Series have been answered, more than 36337 students have viewed full step-by-step solutions from this chapter. Chapter 9.1: Sequences and Series includes 107 full step-by-step solutions. Precalculus with Limits was written by and is associated to the ISBN: 9781133947202. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3.

Key Calculus Terms and definitions covered in this textbook
• Compounded k times per year

Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

• Divergence

A sequence or series diverges if it does not converge

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• Equivalent arrows

Arrows that have the same magnitude and direction.

• Equivalent systems of equations

Systems of equations that have the same solution.

• Extracting square roots

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

• Finite sequence

A function whose domain is the first n positive integers for some fixed integer n.

• Logarithm

An expression of the form logb x (see Logarithmic function)

• Logarithmic form

An equation written with logarithms instead of exponents

• Minor axis

The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

• Multiplication property of equality

If u = v and w = z, then uw = vz

• Negative numbers

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

• Numerical derivative of ƒ at a

NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

• Octants

The eight regions of space determined by the coordinate planes.

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

• Rose curve

A graph of a polar equation or r = a cos nu.

• Slant asymptote

An end behavior asymptote that is a slant line

• Standard form: equation of a circle

(x - h)2 + (y - k2) = r 2

• Trigonometric form of a complex number

r(cos ? + i sin ?)

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