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# Solutions for Chapter 11.1: Sequences

## Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909

Solutions for Chapter 11.1: Sequences

Solutions for Chapter 11.1
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##### ISBN: 9780538497909

Since 93 problems in chapter 11.1: Sequences have been answered, more than 31078 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. Chapter 11.1: Sequences includes 93 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a real number

Denoted by |a|, represents the number a or the positive number -a if a < 0.

• Additive inverse of a complex number

The opposite of a + bi, or -a - bi

• Aphelion

The farthest point from the Sun in a planet’s orbit

• Arcsecant function

See Inverse secant function.

• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Average velocity

The change in position divided by the change in time.

• Bearing

Measure of the clockwise angle that the line of travel makes with due north

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• Finite series

Sum of a finite number of terms.

• Half-life

The amount of time required for half of a radioactive substance to decay.

• Product rule of logarithms

ogb 1RS2 = logb R + logb S, R > 0, S > 0,

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

• Reflection across the x-axis

x, y and (x,-y) are reflections of each other across the x-axis.

• Right triangle

A triangle with a 90° angle.

• Sine

The function y = sin x.

• Sum of a finite geometric series

Sn = a111 - r n 2 1 - r

• Term of a polynomial (function)

An expression of the form anxn in a polynomial (function).

• Vertices of an ellipse

The points where the ellipse intersects its focal axis.

• Weighted mean

A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

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