 11.2.1: (a) What is the difference between a sequence and a series? (b) Wha...
 11.2.2: Explain what it means to say that o` n1 an 5.
 11.2.3: 34 Calculate the sum of the series o` n1 an whose partial sums are ...
 11.2.4: 34 Calculate the sum of the series o` n1 an whose partial sums are ...
 11.2.5: 58 Calculate the first eight terms of the sequence of partial sums ...
 11.2.6: 58 Calculate the first eight terms of the sequence of partial sums ...
 11.2.7: 58 Calculate the first eight terms of the sequence of partial sums ...
 11.2.8: 58 Calculate the first eight terms of the sequence of partial sums ...
 11.2.9: 914 Find at least 10 partial sums of the series. Graph both the seq...
 11.2.10: 914 Find at least 10 partial sums of the series. Graph both the seq...
 11.2.11: 914 Find at least 10 partial sums of the series. Graph both the seq...
 11.2.12: 914 Find at least 10 partial sums of the series. Graph both the seq...
 11.2.13: 914 Find at least 10 partial sums of the series. Graph both the seq...
 11.2.14: 914 Find at least 10 partial sums of the series. Graph both the seq...
 11.2.15: Let an 2n 3n 1 1 . (a) Determine whether han j is convergent. (b) D...
 11.2.16: (a) Explain the difference between o n i1 ai and o n j1 aj (b) Expl...
 11.2.17: (a) Explain the difference between o n i1 ai and o n j1 aj (b) Expl...
 11.2.18: (a) Explain the difference between o n i1 ai and o n j1 aj (b) Expl...
 11.2.19: (a) Explain the difference between o n i1 ai and o n j1 aj (b) Expl...
 11.2.20: (a) Explain the difference between o n i1 ai and o n j1 aj (b) Expl...
 11.2.21: (a) Explain the difference between o n i1 ai and o n j1 aj (b) Expl...
 11.2.22: (a) Explain the difference between o n i1 ai and o n j1 aj (b) Expl...
 11.2.23: (a) Explain the difference between o n i1 ai and o n j1 aj (b) Expl...
 11.2.24: (a) Explain the difference between o n i1 ai and o n j1 aj (b) Expl...
 11.2.25: (a) Explain the difference between o n i1 ai and o n j1 aj (b) Expl...
 11.2.26: (a) Explain the difference between o n i1 ai and o n j1 aj (b) Expl...
 11.2.27: 2742 Determine whether the series is convergent or divergent. If it...
 11.2.28: 2742 Determine whether the series is convergent or divergent. If it...
 11.2.29: 2742 Determine whether the series is convergent or divergent. If it...
 11.2.30: 2742 Determine whether the series is convergent or divergent. If it...
 11.2.31: 2742 Determine whether the series is convergent or divergent. If it...
 11.2.32: 2742 Determine whether the series is convergent or divergent. If it...
 11.2.33: 2742 Determine whether the series is convergent or divergent. If it...
 11.2.34: 2742 Determine whether the series is convergent or divergent. If it...
 11.2.35: 2742 Determine whether the series is convergent or divergent. If it...
 11.2.36: 2742 Determine whether the series is convergent or divergent. If it...
 11.2.37: 2742 Determine whether the series is convergent or divergent. If it...
 11.2.38: 2742 Determine whether the series is convergent or divergent. If it...
 11.2.39: 2742 Determine whether the series is convergent or divergent. If it...
 11.2.40: 2742 Determine whether the series is convergent or divergent. If it...
 11.2.41: 2742 Determine whether the series is convergent or divergent. If it...
 11.2.42: 2742 Determine whether the series is convergent or divergent. If it...
 11.2.43: 4348 Determine whether the series is convergent or divergent by exp...
 11.2.44: 4348 Determine whether the series is convergent or divergent by exp...
 11.2.45: 4348 Determine whether the series is convergent or divergent by exp...
 11.2.46: 4348 Determine whether the series is convergent or divergent by exp...
 11.2.47: 4348 Determine whether the series is convergent or divergent by exp...
 11.2.48: 4348 Determine whether the series is convergent or divergent by exp...
 11.2.49: Let x 0.99999 . . . . (a) Do you think that x , 1 or x 1? (b) Sum a...
 11.2.50: A sequence of terms is defined by a1 1 an s5 2 ndan21 Calculate o` ...
 11.2.51: 5156 Express the number as a ratio of integers.
 11.2.52: 5156 Express the number as a ratio of integers.
 11.2.53: 5156 Express the number as a ratio of integers.
 11.2.54: 5156 Express the number as a ratio of integers.
 11.2.55: 5156 Express the number as a ratio of integers.
 11.2.56: 5156 Express the number as a ratio of integers.
 11.2.57: 5763 Find the values of x for which the series converges. Find the ...
 11.2.58: 5763 Find the values of x for which the series converges. Find the ...
 11.2.59: 5763 Find the values of x for which the series converges. Find the ...
 11.2.60: 5763 Find the values of x for which the series converges. Find the ...
 11.2.61: 5763 Find the values of x for which the series converges. Find the ...
 11.2.62: 5763 Find the values of x for which the series converges. Find the ...
 11.2.63: 5763 Find the values of x for which the series converges. Find the ...
 11.2.64: We have seen that the harmonic series is a divergent series whose t...
 11.2.65: 6566 Use the partial fraction command on your CAS to find a conveni...
 11.2.66: 6566 Use the partial fraction command on your CAS to find a conveni...
 11.2.67: If the nth partial sum of a series o` n1 an is sn n 2 1 n 1 1 find ...
 11.2.68: If the nth partial sum of a series o` n1 an is sn 3 2 n22n , find a...
 11.2.69: A doctor prescribes a 100mg antibiotic tablet to be taken every ei...
 11.2.70: A patient is injected with a drug every 12 hours. Immediately befor...
 11.2.71: A patient takes 150 mg of a drug at the same time every day. Just b...
 11.2.72: After injection of a dose D of insulin, the concentration of insuli...
 11.2.73: When money is spent on goods and services, those who receive the mo...
 11.2.74: A certain ball has the property that each time it falls from a heig...
 11.2.75: Find the value of c if o ` n2 s1 1 cd 2n 2
 11.2.76: Find the value of c such that o ` n0 e nc 10
 11.2.77: In Example 9 we showed that the harmonic series is divergent. Here ...
 11.2.78: Graph the curves y x n , 0 < x < 1, for n 0, 1, 2, 3, 4, . . . on a...
 11.2.79: The figure shows two circles C and D of radius 1 that touch at P. T...
 11.2.80: A right triangle ABC is given with /A and  AC  b. CD is drawn per...
 11.2.81: What is wrong with the following calculation? 0 0 1 0 1 0 1 s1 2 1d...
 11.2.82: Suppose that o` n1 an san 0d is known to be a convergent series. Pr...
 11.2.83: Prove part (i) of Theorem 8.
 11.2.84: If o an is divergent and c 0, show that o can is divergent
 11.2.85: If o an is convergent and o bn is divergent, show that the series o...
 11.2.86: If o an and o bn are both divergent, is o san 1 bnd necessarily div...
 11.2.87: Suppose that a series o an has positive terms and its partial sums ...
 11.2.88: The Fibonacci sequence was defined in Section 11.1 by the equations...
 11.2.89: The Cantor set, named after the German mathematician Georg Cantor (...
 11.2.90: (a) A sequence han j is defined recursively by the equation an 1 2 ...
 11.2.91: Consider the series o` n1 nysn 1 1d!. (a) Find the partial sums s1,...
 11.2.92: In the figure at the right there are infinitely many circles approa...
Solutions for Chapter 11.2: Series
Full solutions for Single Variable Calculus: Early Transcendentals  8th Edition
ISBN: 9781305270336
Solutions for Chapter 11.2: Series
Get Full SolutionsThis textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since 92 problems in chapter 11.2: Series have been answered, more than 96499 students have viewed full stepbystep solutions from this chapter. Chapter 11.2: Series includes 92 full stepbystep solutions. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This expansive textbook survival guide covers the following chapters and their solutions.

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

artesian coordinate system
An association between the points in a plane and ordered pairs of real numbers; or an association between the points in threedimensional space and ordered triples of real numbers

Endpoint of an interval
A real number that represents one “end” of an interval.

Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.

Frequency
Reciprocal of the period of a sinusoid.

Increasing on an interval
A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

Inverse relation (of the relation R)
A relation that consists of all ordered pairs b, a for which a, b belongs to R.

kth term of a sequence
The kth expression in the sequence

Line of symmetry
A line over which a graph is the mirror image of itself

Mean (of a set of data)
The sum of all the data divided by the total number of items

nth root of unity
A complex number v such that vn = 1

Opposite
See Additive inverse of a real number and Additive inverse of a complex number.

Parametric curve
The graph of parametric equations.

Permutation
An arrangement of elements of a set, in which order is important.

Projection of u onto v
The vector projv u = au # vƒvƒb2v

Reciprocal identity
An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

Reflection across the yaxis
x, y and (x,y) are reflections of each other across the yaxis.

Standard representation of a vector
A representative arrow with its initial point at the origin

Supply curve
p = ƒ(x), where x represents production and p represents price

Velocity
A vector that specifies the motion of an object in terms of its speed and direction.