 8.1.1: In Exercises 112, write tlie first five terms of the sequence.
 8.1.2: In Exercises 112, write tlie first five terms of the sequence. " ~...
 8.1.3: In Exercises 112, write tlie first five terms of the sequence. , = HT
 8.1.4: In Exercises 112, write tlie first five terms of the sequence. ^'i...
 8.1.5: In Exercises 112, write tlie first five terms of the sequence. = ....
 8.1.6: In Exercises 112, write tlie first five terms of the sequence. ti,...
 8.1.7: In Exercises 112, write tlie first five terms of the sequence. =(...
 8.1.8: In Exercises 112, write tlie first five terms of the sequence. <' ...
 8.1.9: In Exercises 112, write tlie first five terms of the sequence. = 1...
 8.1.10: In Exercises 112, write tlie first five terms of the sequence. n i...
 8.1.11: In Exercises 112, write tlie first five terms of the sequence. =3"
 8.1.12: In Exercises 112, write tlie first five terms of the sequence. "= ...
 8.1.13: In Exercises 1316, write the first five terms of the recursivelyde...
 8.1.14: In Exercises 1316, write the first five terms of the recursivelyde...
 8.1.15: In Exercises 1316, write the first five terms of the recursivelyde...
 8.1.16: In Exercises 1316, write the first five terms of the recursivelyde...
 8.1.17: In Exercises 1720, match the sequence with its graph, [Thegraphs a...
 8.1.18: In Exercises 1720, match the sequence with its graph, [Thegraphs a...
 8.1.19: In Exercises 1720, match the sequence with its graph, [Thegraphs a...
 8.1.20: In Exercises 1720, match the sequence with its graph, [Thegraphs a...
 8.1.21: In E^xcrcises 2126, use a graphing utility to graph the first tent...
 8.1.22: In E^xcrcises 2126, use a graphing utility to graph the first tent...
 8.1.23: In E^xcrcises 2126, use a graphing utility to graph the first tent...
 8.1.24: In E^xcrcises 2126, use a graphing utility to graph the first tent...
 8.1.25: In E^xcrcises 2126, use a graphing utility to graph the first tent...
 8.1.26: In E^xcrcises 2126, use a graphing utility to graph the first tent...
 8.1.27: In Exercises 2730, write tlie next two apparent terms of tlieseque...
 8.1.28: In Exercises 2730, write tlie next two apparent terms of tlieseque...
 8.1.29: In Exercises 2730, write tlie next two apparent terms of tlieseque...
 8.1.30: In Exercises 2730, write tlie next two apparent terms of tlieseque...
 8.1.31: In Exercises 3136, simplify the ratio of factorials.
 8.1.32: In Exercises 3136, simplify the ratio of factorials.
 8.1.33: In Exercises 3136, simplify the ratio of factorials.
 8.1.34: In Exercises 3136, simplify the ratio of factorials.
 8.1.35: In Exercises 3136, simplify the ratio of factorials.
 8.1.36: In Exercises 3136, simplify the ratio of factorials.
 8.1.37: In Exercises 3742, find the limit (if possible) of the sequence,
 8.1.38: In Exercises 3742, find the limit (if possible) of the sequence,
 8.1.39: In Exercises 3742, find the limit (if possible) of the sequence,
 8.1.40: In Exercises 3742, find the limit (if possible) of the sequence,
 8.1.41: In Exercises 3742, find the limit (if possible) of the sequence,
 8.1.42: In Exercises 3742, find the limit (if possible) of the sequence,
 8.1.43: In Exercises 4346, use a graphing utility to graph the first ten t...
 8.1.44: In Exercises 4346, use a graphing utility to graph the first ten t...
 8.1.45: In Exercises 4346, use a graphing utility to graph the first ten t...
 8.1.46: In Exercises 4346, use a graphing utility to graph the first ten t...
 8.1.47: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.48: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.49: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.50: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.51: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.52: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.53: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.54: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.55: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.56: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.57: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.58: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.59: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.60: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.61: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.62: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.63: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.64: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.65: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.66: In Exercises 4766, determine the convergence or divergence ofthe s...
 8.1.67: In Exercises 67S(), vvrilc an expression for the tli term of these...
 8.1.68: In Exercises 67S(), vvrilc an expression for the tli term of these...
 8.1.69: In Exercises 67S(), vvrilc an expression for the tli term of these...
 8.1.70: In Exercises 67S(), vvrilc an expression for the tli term of these...
 8.1.71: In Exercises 67S(), vvrilc an expression for the tli term of these...
 8.1.72: In Exercises 67S(), vvrilc an expression for the tli term of these...
 8.1.73: In Exercises 67S(), vvrilc an expression for the tli term of these...
 8.1.74: In Exercises 67S(), vvrilc an expression for the tli term of these...
 8.1.75: In Exercises 67S(), vvrilc an expression for the tli term of these...
 8.1.76: In Exercises 67S(), vvrilc an expression for the tli term of these...
 8.1.77: In Exercises 67S(), vvrilc an expression for the tli term of these...
 8.1.78: In Exercises 67S(), vvrilc an expression for the tli term of these...
 8.1.79: In Exercises 67S(), vvrilc an expression for the tli term of these...
 8.1.80: In Exercises 67S(), vvrilc an expression for the tli term of these...
 8.1.81: In Exercises 8190. determine whether the sequence with thegiven /;...
 8.1.82: In Exercises 8190. determine whether the sequence with thegiven /;...
 8.1.83: In Exercises 8190. determine whether the sequence with thegiven /;...
 8.1.84: In Exercises 8190. determine whether the sequence with thegiven /;...
 8.1.85: In Exercises 8190. determine whether the sequence with thegiven /;...
 8.1.86: In Exercises 8190. determine whether the sequence with thegiven /;...
 8.1.87: In Exercises 8190. determine whether the sequence with thegiven /;...
 8.1.88: In Exercises 8190. determine whether the sequence with thegiven /;...
 8.1.89: In Exercises 8190. determine whether the sequence with thegiven /;...
 8.1.90: In Exercises 8190. determine whether the sequence with thegiven /;...
 8.1.91: In Exercises 9194, (a) use Theorem 8.5 to show that thesequence wi...
 8.1.92: In Exercises 9194, (a) use Theorem 8.5 to show that thesequence wi...
 8.1.93: In Exercises 9194, (a) use Theorem 8.5 to show that thesequence wi...
 8.1.94: In Exercises 9194, (a) use Theorem 8.5 to show that thesequence wi...
 8.1.95: Coinpoiiiid Interest Consider the sequence /4 whose ;ilhterm is a...
 8.1.96: Investnieiit A deposit of .Slot) is made at the beginning ofeach mo...
 8.1.97: In your own words, define each ol the following,(a) Sequence(h) Con...
 8.1.98: The giaplis of two sequences are given in the figures, iWhich graph...
 8.1.99: In Exercises 99102, give an example of a sequence satisfying the c...
 8.1.100: In Exercises 99102, give an example of a sequence satisfying the c...
 8.1.101: In Exercises 99102, give an example of a sequence satisfying the c...
 8.1.102: In Exercises 99102, give an example of a sequence satisfying the c...
 8.1.103: Government Expendilnres A goxeinnicnt program llialcurrently costs ...
 8.1.104: Inflation If the rate of intlation is 4^% per year and theaverage p...
 8.1.105: Modelint; Ikilti The average cost per day for a hospital roomfrom 1...
 8.1.106: Modelinti Data The annual sales (/ (in millions of dollars) of H, ....
 8.1.107: Comparing Exponential and Faetorial (irowtit Consiilei the sequence...
 8.1.108: Compute the first six terms of the sequenceU/ = 1(1 + i///)"l.If t...
 8.1.109: Compute the first six terms of the sequence U',,! = ) Z^n \. Ifthe ...
 8.1.110: Prove that if j.v,J converges to L and L > 0, then there exists a l...
 8.1.111: ihonaeei Seqnenee In a study of the progeny of rabbits,Fibonacci (c...
 8.1.112: Complete the proof of Theorem 8.5.
 8.1.113: True or False? In Exercises 113116, determine whether the.statemen...
 8.1.114: True or False? In Exercises 113116, determine whether the.statemen...
 8.1.115: True or False? In Exercises 113116, determine whether the.statemen...
 8.1.116: True or False? In Exercises 113116, determine whether the.statemen...
 8.1.117: Consider the sequenceJ2. ^2 + 72. + V2 + s/2. . . .where o = 72 + f...
 8.1.118: Conjecture Let .v,, = I and consider the sequence v givenbv the fo...
Solutions for Chapter 8.1: Sequences
Full solutions for Calculus of A Single Variable  7th Edition
ISBN: 9780618149162
Solutions for Chapter 8.1: Sequences
Get Full SolutionsThis 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 stepbystep solutions from this chapter. Chapter 8.1: Sequences includes 118 full stepbystep 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.

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.

Doubleangle 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.

Leading coefficient
See Polynomial function in x

Leading term
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 realnumber 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.