 12.1: Find the first four terms as well as the tenth term of the sequence...
 12.2: Find the first four terms as well as the tenth term of the sequence...
 12.3: Find the first four terms as well as the tenth term of the sequence...
 12.4: Find the first four terms as well as the tenth term of the sequence...
 12.5: Find the first four terms as well as the tenth term of the sequence...
 12.6: Find the first four terms as well as the tenth term of the sequence...
 12.7: A sequence is defined recursively. Find the first seven terms of th...
 12.8: A sequence is defined recursively. Find the first seven terms of th...
 12.9: A sequence is defined recursively. Find the first seven terms of th...
 12.10: A sequence is defined recursively. Find the first seven terms of th...
 12.11: The nth term of a sequence is given. (a) Find the first five terms ...
 12.12: The nth term of a sequence is given. (a) Find the first five terms ...
 12.13: The nth term of a sequence is given. (a) Find the first five terms ...
 12.14: The nth term of a sequence is given. (a) Find the first five terms ...
 12.15: The first four terms of a sequence are given. Determine whether the...
 12.16: The first four terms of a sequence are given. Determine whether the...
 12.17: The first four terms of a sequence are given. Determine whether the...
 12.18: The first four terms of a sequence are given. Determine whether the...
 12.19: The first four terms of a sequence are given. Determine whether the...
 12.20: The first four terms of a sequence are given. Determine whether the...
 12.21: The first four terms of a sequence are given. Determine whether the...
 12.22: The first four terms of a sequence are given. Determine whether the...
 12.23: Show that 3, 6i, 12, 24i, . . . is a geometric sequence, andfind th...
 12.24: Find the nth term of the geometric sequence 2, 2 2i, 4i,4 4i, 8, . ...
 12.25: The sixth term of an arithmetic sequence is 17, and the fourth term...
 12.26: The 20th term of an arithmetic sequence is 96, and the common diffe...
 12.27: The third term of a geometric sequence is 9, and the common ratio i...
 12.28: The second term of a geometric sequence is 10, and the fifth term i...
 12.29: A teacher makes $32,000 in his first year at Lakeside School and ge...
 12.30: A colleague of the teacher in Exercise 29, hired at the sametime, m...
 12.31: A certain type of bacteria divides every 5 s. If three of thesebact...
 12.32: If a1, a2, a3, . . . and b1, b2, b3, . . . are arithmetic sequences...
 12.33: If a1, a2, a3, . . . and b1, b2, b3, . . . are geometric sequences,...
 12.34: (a) If a1, a2, a3, . . . is an arithmetic sequence, is the sequence...
 12.35: Find the values of x for which the sequence 6, x, 12, . . . is (a) ...
 12.36: Find the values of x and y for which the sequence 2, x, y, 17, . . ...
 12.37: Find the sum.a 2i 16k31k 122
 12.38: Find the sum.a4i12ia 2i 1
 12.39: Find the sum.a6k11k 122k1
 12.40: Find the sum.a5m13m2
 12.41: Write the sum without using sigma notation. Do not evaluate.a j 110...
 12.42: Write the sum without using sigma notation. Do not evaluate.100j21a...
 12.43: Write the sum without using sigma notation. Do not evaluate.a50k13k2k1
 12.44: Write the sum without using sigma notation. Do not evaluate.a10n1n22n
 12.45: Write the sum using sigma notation. Do not evaluate.3 6 9 12 . . . 99
 12.46: Write the sum using sigma notation. Do not evaluate.12 22 32 . . . ...
 12.47: Write the sum using sigma notation. Do not evaluate.. 1 23 2 24 3 2...
 12.48: Write the sum using sigma notation. Do not evaluate.11 # 212 # 313 ...
 12.49: Determine whether the expression is a partial sum of an arithmetic ...
 12.50: Determine whether the expression is a partial sum of an arithmetic ...
 12.51: Determine whether the expression is a partial sum of an arithmetic ...
 12.52: Determine whether the expression is a partial sum of an arithmetic ...
 12.53: Determine whether the expression is a partial sum of an arithmetic ...
 12.54: Determine whether the expression is a partial sum of an arithmetic ...
 12.55: Determine whether the infinite geometric series is convergent or di...
 12.56: Determine whether the infinite geometric series is convergent or di...
 12.57: Determine whether the infinite geometric series is convergent or di...
 12.58: Determine whether the infinite geometric series is convergent or di...
 12.59: Determine whether the infinite geometric series is convergent or di...
 12.60: Determine whether the infinite geometric series is convergent or di...
 12.61: The first term of an arithmetic sequence is a 7, and the common dif...
 12.62: The sum of the first three terms of a geometric series is 52, and t...
 12.63: A person has two parents, four grandparents, eight greatgrandparent...
 12.64: Find the amount of an annuity consisting of 16 annual payments of $...
 12.65: How much money should be invested every quarter at 12% per year, co...
 12.66: What are the monthly payments on a mortgage of $60,000 at 9% intere...
 12.67: Use mathematical induction to prove that the formula is true for al...
 12.68: Use mathematical induction to prove that the formula is true for al...
 12.69: Use mathematical induction to prove that the formula is true for al...
 12.70: Show that 7n 1 is divisible by 6 for all natural numbers n.
 12.71: Let an1 3an 4 and a1 4. Show that an 2 3n 2 for all natural numbers...
 12.72: Prove that the Fibonacci number F4n is divisible by 3 for all natur...
 12.73: Evaluate the expression.a b 52b a 53
 12.74: Evaluate the expression.a102 b a106 a
 12.75: Evaluate the expression.a b5k0a5k
 12.76: Evaluate the expression.8k0a8kb a 88 k a
 12.77: Expand the expression.1A B23
 12.78: Expand the expression.1x 225
 12.79: Expand the expression.11 x 2 26
 12.80: Expand the expression.12x y24
 12.81: Find the 20th term in the expansion of 1a b222
 12.82: Find the first three terms in the expansion of 1b2/3 b1/3 220
 12.83: Find the term containing A6 in the expansion of . 1A 3B210
Solutions for Chapter 12: Precalculus: Mathematics for Calculus 6th Edition
Full solutions for Precalculus: Mathematics for Calculus  6th Edition
ISBN: 9780840068071
Solutions for Chapter 12
Get Full SolutionsSince 83 problems in chapter 12 have been answered, more than 2362 students have viewed full stepbystep solutions from this chapter. Chapter 12 includes 83 full stepbystep solutions. This textbook survival guide was created for the textbook: Precalculus: Mathematics for Calculus, edition: 6. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus: Mathematics for Calculus was written by Sieva Kozinsky and is associated to the ISBN: 9780840068071.

Arcsecant function
See Inverse secant function.

Average velocity
The change in position divided by the change in time.

Cardioid
A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

Conic section (or conic)
A curve obtained by intersecting a doublenapped right circular cone with a plane

Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic

Finite sequence
A function whose domain is the first n positive integers for some fixed integer n.

Fivenumber summary
The minimum, first quartile, median, third quartile, and maximum of a data set.

Frequency (in statistics)
The number of individuals or observations with a certain characteristic.

Identity matrix
A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

Independent variable
Variable representing the domain value of a function (usually x).

Infinite sequence
A function whose domain is the set of all natural numbers.

nset
A set of n objects.

Partial sums
See Sequence of partial sums.

Perpendicular lines
Two lines that are at right angles to each other

Polynomial function
A function in which ƒ(x)is a polynomial in x, p. 158.

Radian measure
The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

Rational zeros
Zeros of a function that are rational numbers.

Singular matrix
A square matrix with zero determinant

Slant line
A line that is neither horizontal nor vertical

Vertical line
x = a.
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