 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 6288 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 and is associated to the ISBN: 9780840068071.

Addition property of inequality
If u < v , then u + w < v + w

Augmented matrix
A matrix that represents a system of equations.

Binomial theorem
A theorem that gives an expansion formula for (a + b)n

Blind experiment
An experiment in which subjects do not know if they have been given an active treatment or a placebo

Closed interval
An interval that includes its endpoints

Correlation coefficient
A measure of the strength of the linear relationship between two variables, pp. 146, 162.

Coterminal angles
Two angles having the same initial side and the same terminal side

Descriptive statistics
The gathering and processing of numerical information

Determinant
A number that is associated with a square matrix

Dihedral angle
An angle formed by two intersecting planes,

End behavior
The behavior of a graph of a function as.

Extracting square roots
A method for solving equations in the form x 2 = k.

Linear programming problem
A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

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

Multiplication property of equality
If u = v and w = z, then uw = vz

Polar coordinates
The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

Product of a scalar and a vector
The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

Second quartile
See Quartile.

Variable (in statistics)
A characteristic of individuals that is being identified or measured.

Vertical translation
A shift of a graph up or down.