 9.1.1: For Exercises 16, find the first five terms of the sequence from th...
 9.1.2: For Exercises 16, find the first five terms of the sequence from th...
 9.1.3: For Exercises 16, find the first five terms of the sequence from th...
 9.1.4: For Exercises 16, find the first five terms of the sequence from th...
 9.1.5: For Exercises 16, find the first five terms of the sequence from th...
 9.1.6: For Exercises 16, find the first five terms of the sequence from th...
 9.1.7: In Exercises 712, find a formula for sn, n 1.
 9.1.8: In Exercises 712, find a formula for sn, n 1.
 9.1.9: In Exercises 712, find a formula for sn, n 1.
 9.1.10: In Exercises 712, find a formula for sn, n 1.
 9.1.11: In Exercises 712, find a formula for sn, n 1.
 9.1.12: In Exercises 712, find a formula for sn, n 1.
 9.1.13: Do the sequences in 1324 converge or diverge? If a sequence converg...
 9.1.14: Do the sequences in 1324 converge or diverge? If a sequence converg...
 9.1.15: Do the sequences in 1324 converge or diverge? If a sequence converg...
 9.1.16: Do the sequences in 1324 converge or diverge? If a sequence converg...
 9.1.17: Do the sequences in 1324 converge or diverge? If a sequence converg...
 9.1.18: Do the sequences in 1324 converge or diverge? If a sequence converg...
 9.1.19: Do the sequences in 1324 converge or diverge? If a sequence converg...
 9.1.20: Do the sequences in 1324 converge or diverge? If a sequence converg...
 9.1.21: Do the sequences in 1324 converge or diverge? If a sequence converg...
 9.1.22: Do the sequences in 1324 converge or diverge? If a sequence converg...
 9.1.23: Do the sequences in 1324 converge or diverge? If a sequence converg...
 9.1.24: Do the sequences in 1324 converge or diverge? If a sequence converg...
 9.1.25: Match formulas (a)(d) with graphs (I)(IV). (a) sn = 1 1/n (b) sn =1...
 9.1.26: Match formulas (a)(e) with descriptions (I)(V) of the behavior of t...
 9.1.27: Match formulas (a)(e) with graphs (I)(V). (a) sn = 2 1/n (b) sn = (...
 9.1.28: In 2831, find the first six terms of the recursively defined sequence
 9.1.29: In 2831, find the first six terms of the recursively defined sequence
 9.1.30: In 2831, find the first six terms of the recursively defined sequence
 9.1.31: In 2831, find the first six terms of the recursively defined sequence
 9.1.32: In 3233, let a1 = 8, b1 = 5, and, for n > 1, an = an1 + 3n bn = bn1...
 9.1.33: In 3233, let a1 = 8, b1 = 5, and, for n > 1, an = an1 + 3n bn = bn1...
 9.1.34: Suppose s1 = 0, s2 = 0, s3 = 1, and that sn = sn1 + sn2 + sn3 for n...
 9.1.35: 3537 concern analog signals in electrical engineering, which are co...
 9.1.36: 3537 concern analog signals in electrical engineering, which are co...
 9.1.37: 3537 concern analog signals in electrical engineering, which are co...
 9.1.38: In 3840, we smooth a sequence, s1, s2, s3,..., by replacing each te...
 9.1.39: In 3840, we smooth a sequence, s1, s2, s3,..., by replacing each te...
 9.1.40: In 3840, we smooth a sequence, s1, s2, s3,..., by replacing each te...
 9.1.41: In 4146, find a recursive definition for the sequence.
 9.1.42: In 4146, find a recursive definition for the sequence.
 9.1.43: In 4146, find a recursive definition for the sequence.
 9.1.44: In 4146, find a recursive definition for the sequence.
 9.1.45: In 4146, find a recursive definition for the sequence.
 9.1.46: In 4146, find a recursive definition for the sequence.
 9.1.47: In 4749, show that the sequence sn satisfies the recurrence relation.
 9.1.48: In 4749, show that the sequence sn satisfies the recurrence relation.
 9.1.49: In 4749, show that the sequence sn satisfies the recurrence relation.
 9.1.50: In 5053, for the function f define a sequence recursively by xn = f...
 9.1.51: In 5053, for the function f define a sequence recursively by xn = f...
 9.1.52: In 5053, for the function f define a sequence recursively by xn = f...
 9.1.53: In 5053, for the function f define a sequence recursively by xn = f...
 9.1.54: Let Vn be the number of new SUVs sold in the US in month n, where n...
 9.1.55: (a) Let sn be the number of ancestors a person has n generations ag...
 9.1.56: For 1 n 10, find a formula for pn, the payment in year n on a loan ...
 9.1.57: (a) Cans are stacked in a triangle on a shelf. The bottom row conta...
 9.1.58: You are deciding whether to buy a new or a twoyearold car (of the...
 9.1.59: The Fibonacci sequence, first studied by the thirteenth century Ita...
 9.1.60: This problem defines the CalkinWilfNewman sequence of positive ra...
 9.1.61: Write a definition for lim n sn = L similar to the , definition for...
 9.1.62: The sequence sn is increasing, the sequence tn converges, and sn tn...
 9.1.63: In 6364, explain what is wrong with the statement
 9.1.64: In 6364, explain what is wrong with the statement
 9.1.65: An increasing sequence that converges to 0
 9.1.66: A monotone sequence that does not converge.
 9.1.67: You can tell if a sequence converges by looking at the first 1000 t...
 9.1.68: If the terms sn of a convergent sequence are all positive then lim ...
 9.1.69: If the sequence sn of positive terms is unbounded, then the sequenc...
 9.1.70: If the sequence sn of positive terms is unbounded, then the sequenc...
 9.1.71: If a sequence sn is convergent, then the terms sn tend to zero as n...
 9.1.72: A monotone sequence cannot have both positive and negative terms
 9.1.73: If a monotone sequence of positive terms does not converge, then it...
 9.1.74: If all terms sn of a sequence are less than a million, then the seq...
 9.1.75: Which of the sequences IIV is monotone and bounded for n 1? I. sn =...
Solutions for Chapter 9.1: SEQUENCES
Full solutions for Calculus: Single Variable  6th Edition
ISBN: 9780470888643
Solutions for Chapter 9.1: SEQUENCES
Get Full SolutionsCalculus: Single Variable was written by and is associated to the ISBN: 9780470888643. Chapter 9.1: SEQUENCES includes 75 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 75 problems in chapter 9.1: SEQUENCES have been answered, more than 35185 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Single Variable , edition: 6.

Average rate of change of ƒ over [a, b]
The number ƒ(b)  ƒ(a) b  a, provided a ? b.

Boxplot (or boxandwhisker plot)
A graph that displays a fivenumber summary

Coefficient matrix
A matrix whose elements are the coefficients in a system of linear equations

Course
See Bearing.

Directed distance
See Polar coordinates.

Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.

Equivalent vectors
Vectors with the same magnitude and direction.

Initial value of a function
ƒ 0.

Inverse secant function
The function y = sec1 x

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

Natural logarithmic function
The inverse of the exponential function y = ex, denoted by y = ln x.

Polar coordinate system
A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

Probability of an event in a finite sample space of equally likely outcomes
The number of outcomes in the event divided by the number of outcomes in the sample space.

Range screen
See Viewing window.

Speed
The magnitude of the velocity vector, given by distance/time.

Stemplot (or stemandleaf plot)
An arrangement of a numerical data set into a specific tabular format.

Sum of complex numbers
(a + bi) + (c + di) = (a + c) + (b + d)i

Terms of a sequence
The range elements of a sequence.

Vertical line
x = a.

zcoordinate
The directed distance from the xyplane to a point in space, or the third number in an ordered triple.