 9.2.1: In Exercises 16, find the sequence of partial sums and S5
 9.2.2: In Exercises 16, find the sequence of partial sums and S5
 9.2.3: In Exercises 16, find the sequence of partial sums and S5
 9.2.4: In Exercises 16, find the sequence of partial sums and S5
 9.2.5: In Exercises 16, find the sequence of partial sums and S5
 9.2.6: In Exercises 16, find the sequence of partial sums and S5
 9.2.7: an n 1 n
 9.2.8: an 3 4 5 n
 9.2.9: In Exercises 918, verify that the infinite series diverges.
 9.2.10: In Exercises 918, verify that the infinite series diverges.
 9.2.11: In Exercises 918, verify that the infinite series diverges.
 9.2.12: In Exercises 918, verify that the infinite series diverges.
 9.2.13: In Exercises 918, verify that the infinite series diverges.
 9.2.14: In Exercises 918, verify that the infinite series diverges.
 9.2.15: In Exercises 918, verify that the infinite series diverges.
 9.2.16: In Exercises 918, verify that the infinite series diverges.
 9.2.17: In Exercises 918, verify that the infinite series diverges.
 9.2.18: In Exercises 918, verify that the infinite series diverges.
 9.2.19: In Exercises 1924, match the series with the graph of its sequence ...
 9.2.20: In Exercises 1924, match the series with the graph of its sequence ...
 9.2.21: In Exercises 1924, match the series with the graph of its sequence ...
 9.2.22: In Exercises 1924, match the series with the graph of its sequence ...
 9.2.23: In Exercises 1924, match the series with the graph of its sequence ...
 9.2.24: In Exercises 1924, match the series with the graph of its sequence ...
 9.2.25: In Exercises 2530, verify that the infinite series converges
 9.2.26: In Exercises 2530, verify that the infinite series converges
 9.2.27: In Exercises 2530, verify that the infinite series converges
 9.2.28: In Exercises 2530, verify that the infinite series converges
 9.2.29: In Exercises 2530, verify that the infinite series converges
 9.2.30: In Exercises 2530, verify that the infinite series converges
 9.2.31: In Exercises 3136, (a) find the sum of the series, (b) use a graphi...
 9.2.32: In Exercises 3136, (a) find the sum of the series, (b) use a graphi...
 9.2.33: In Exercises 3136, (a) find the sum of the series, (b) use a graphi...
 9.2.34: In Exercises 3136, (a) find the sum of the series, (b) use a graphi...
 9.2.35: In Exercises 3136, (a) find the sum of the series, (b) use a graphi...
 9.2.36: In Exercises 3136, (a) find the sum of the series, (b) use a graphi...
 9.2.37: In Exercises 3752, find the sum of the convergent series.
 9.2.38: In Exercises 3752, find the sum of the convergent series.
 9.2.39: In Exercises 3752, find the sum of the convergent series.
 9.2.40: In Exercises 3752, find the sum of the convergent series.
 9.2.41: In Exercises 3752, find the sum of the convergent series.
 9.2.42: In Exercises 3752, find the sum of the convergent series.
 9.2.43: In Exercises 3752, find the sum of the convergent series.
 9.2.44: In Exercises 3752, find the sum of the convergent series.
 9.2.45: In Exercises 3752, find the sum of the convergent series.
 9.2.46: In Exercises 3752, find the sum of the convergent series.
 9.2.47: In Exercises 3752, find the sum of the convergent series.
 9.2.48: In Exercises 3752, find the sum of the convergent series.
 9.2.49: In Exercises 3752, find the sum of the convergent series.
 9.2.50: In Exercises 3752, find the sum of the convergent series.
 9.2.51: In Exercises 3752, find the sum of the convergent series.
 9.2.52: In Exercises 3752, find the sum of the convergent series.
 9.2.53: In Exercises 5358, (a) write the repeating decimal as a geometric s...
 9.2.54: In Exercises 5358, (a) write the repeating decimal as a geometric s...
 9.2.55: In Exercises 5358, (a) write the repeating decimal as a geometric s...
 9.2.56: In Exercises 5358, (a) write the repeating decimal as a geometric s...
 9.2.57: In Exercises 5358, (a) write the repeating decimal as a geometric s...
 9.2.58: In Exercises 5358, (a) write the repeating decimal as a geometric s...
 9.2.59: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.60: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.61: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.62: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.63: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.64: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.65: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.66: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.67: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.68: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.69: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.70: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.71: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.72: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.73: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.74: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.75: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.76: In Exercises 5976, determine the convergence or divergence of the s...
 9.2.77: State the definitions of convergent and divergent series.
 9.2.78: Describe the difference between and n1 an 5.
 9.2.79: Define a geometric series, state when it converges, and give the fo...
 9.2.80: State the Term Test for Divergence.
 9.2.81: Explain any differences among the following series. (a) (b) (c)
 9.2.82: a) You delete a finite number of terms from a divergent series. Wil...
 9.2.83: In Exercises 8390, find all values of for which the series converge...
 9.2.84: In Exercises 8390, find all values of for which the series converge...
 9.2.85: In Exercises 8390, find all values of for which the series converge...
 9.2.86: In Exercises 8390, find all values of for which the series converge...
 9.2.87: In Exercises 8390, find all values of for which the series converge...
 9.2.88: In Exercises 8390, find all values of for which the series converge...
 9.2.89: In Exercises 8390, find all values of for which the series converge...
 9.2.90: In Exercises 8390, find all values of for which the series converge...
 9.2.91: In Exercises 91 and 92, find the value of for which the series equa...
 9.2.92: In Exercises 91 and 92, find the value of for which the series equa...
 9.2.93: Consider the formula Given and can you conclude that either of the ...
 9.2.94: Are the following statements true? Why or why not? (a) Because appr...
 9.2.95: In Exercises 95 and 96, (a) find the common ratio of the geometric ...
 9.2.96: In Exercises 95 and 96, (a) find the common ratio of the geometric ...
 9.2.97: In Exercises 97 and 98, use a graphing utility to graph the functio...
 9.2.98: In Exercises 97 and 98, use a graphing utility to graph the functio...
 9.2.99: In Exercises 99 and 100, use a graphing utility to determine the fi...
 9.2.100: In Exercises 99 and 100, use a graphing utility to determine the fi...
 9.2.101: An electronic games manufacturer producing a new product estimates ...
 9.2.102: A company buys a machine for $475,000 that depreciates at a rate of...
 9.2.103: The total annual spending by tourists in a resort city is $200 mill...
 9.2.104: Repeat Exercise 103 if the percent of the revenue that is spent aga...
 9.2.105: A ball is dropped from a height of 16 feet. Each time it drops feet...
 9.2.106: The ball in Exercise 105 takes the following times for each fall.Be...
 9.2.107: In Exercises 107 and 108, the random variable represents the number...
 9.2.108: In Exercises 107 and 108, the random variable represents the number...
 9.2.109: A fair coin is tossed repeatedly. The probability that the first he...
 9.2.110: In an experiment, three people toss a fair coin one at a time until...
 9.2.111: The sides of a square are 16 inches in length. A new square is form...
 9.2.112: A right triangle is shown above where and Line segments are continu...
 9.2.113: In Exercises 113116, use the formula for the th partial sum of a ge...
 9.2.114: In Exercises 113116, use the formula for the th partial sum of a ge...
 9.2.115: In Exercises 113116, use the formula for the th partial sum of a ge...
 9.2.116: In Exercises 113116, use the formula for the th partial sum of a ge...
 9.2.117: In Exercises 117120, consider making monthly deposits of dollars in...
 9.2.118: In Exercises 117120, consider making monthly deposits of dollars in...
 9.2.119: In Exercises 117120, consider making monthly deposits of dollars in...
 9.2.120: In Exercises 117120, consider making monthly deposits of dollars in...
 9.2.121: You accept a job that pays a salary of $50,000 for the first year. ...
 9.2.122: Repeat Exercise 121 if the raise you receive each year is 4.5%. Com...
 9.2.123: In Exercises 123128, determine whether the statement is true or fal...
 9.2.124: In Exercises 123128, determine whether the statement is true or fal...
 9.2.125: In Exercises 123128, determine whether the statement is true or fal...
 9.2.126: In Exercises 123128, determine whether the statement is true or fal...
 9.2.127: In Exercises 123128, determine whether the statement is true or fal...
 9.2.128: In Exercises 123128, determine whether the statement is true or fal...
 9.2.129: Show that the series can be written in the telescoping form where a...
 9.2.130: Let be a convergent series, and let be the remainder of the series ...
 9.2.131: Find two divergent series and such that converges.
 9.2.132: Given two infinite series and such that converges and diverges, pro...
 9.2.133: Suppose that diverges and c is a nonzero constant. Prove that diver...
 9.2.134: If converges where is nonzero, show that diverges.
 9.2.135: The Fibonacci sequence is defined recursively by where and (a) Show...
 9.2.136: Find the values of for which the infinite series converges. What is...
 9.2.137: Prove that 1 r 1 r2 1 r3 . . . 1 r 1for r > 1.
 9.2.138: Find the sum of the series Hint: Find the constants and such that
 9.2.139: (a) The integrand of each definite integral is a difference of two ...
 9.2.140: The figure below represents an informal way of showing that Explain...
 9.2.141: Read the article The ExponentialDecay Law Applied to Medical Dosag...
 9.2.142: Write k1 6k 3k1 2k1 3k 2k as a rational number.
 9.2.143: Let be the sum of the first terms of the sequence 0, 1, 1, 2, 2, 3,...
Solutions for Chapter 9.2: Series and Convergence
Full solutions for Calculus  9th Edition
ISBN: 9780547167022
Solutions for Chapter 9.2: Series and Convergence
Get Full SolutionsChapter 9.2: Series and Convergence includes 143 full stepbystep solutions. Calculus was written by and is associated to the ISBN: 9780547167022. Since 143 problems in chapter 9.2: Series and Convergence have been answered, more than 61214 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus , edition: 9. This expansive textbook survival guide covers the following chapters and their solutions.

Additive inverse of a complex number
The opposite of a + bi, or a  bi

Blocking
A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects

Constant of variation
See Power function.

Directed line segment
See Arrow.

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

equation of a parabola
(x  h)2 = 4p(y  k) or (y  k)2 = 4p(x  h)

Firstdegree equation in x , y, and z
An equation that can be written in the form.

Halfplane
The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

Initial value of a function
ƒ 0.

Interval notation
Notation used to specify intervals, pp. 4, 5.

Linear combination of vectors u and v
An expression au + bv , where a and b are real numbers

Linear regression line
The line for which the sum of the squares of the residuals is the smallest possible

Logarithmic regression
See Natural logarithmic regression

Lower bound for real zeros
A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

Orthogonal vectors
Two vectors u and v with u x v = 0.

Paraboloid of revolution
A surface generated by rotating a parabola about its line of symmetry.

Pseudorandom numbers
Computergenerated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

Quadric surface
The graph in three dimensions of a seconddegree equation in three variables.

Relation
A set of ordered pairs of real numbers.

Standard form of a polynomial function
ƒ(x) = an x n + an1x n1 + Á + a1x + a0