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Math Algebra BEGINNING AND INTERMEDIATE AGEBRA

For Exercises 33–36, find the first three terms of the expansion. (See Example 3.) ( r − s 2 ) 8

For Exercises 33–36, find the first three terms of the expansion. (See Example 3.) ( r − s 2 ) 8

Solution Summary: The author calculates the first three terms in the expansion of (r-s2)8.

BEGINNING AND INTERMEDIATE AGEBRA

BEGINNING AND INTERMEDIATE AGEBRA

5th Edition

ISBN: 9781264367702

Author: Miller

Publisher: MCGRAW-HILL HIGHER EDUCATION

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Chapter 14.1, Problem 36PE

For Exercises 33–36, find the first three terms of the expansion. (See Example 3.)

( r − s 2 ) 8

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Chapter 14.1, Problem 35PE

Chapter 14.1, Problem 37PE

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Chapter 14 Solutions

BEGINNING AND INTERMEDIATE AGEBRA

Ch. 14.1 - Prob. 1SP Ch. 14.1 - Prob. 2SP Ch. 14.1 - Evaluate the expressions. 3. 1! Ch. 14.1 - Prob. 4SP Ch. 14.1 - Prob. 5SP Ch. 14.1 - Prob. 6SP Ch. 14.1 - Write out the first three terms of ( x + y ) 5 .Ch. 14.1 - 8. Use the binomial theorem to expand . Ch. 14.1 - Use the binomial theorem to expand ( 2 a − 3 b 2 )...Ch. 14.1 - Find the fourth term of ( x + y ) 8 .

Ch. 14.1 - 11. Find the fifth term of . Ch. 14.1 - a. The expanded form of ( x + b ) 2 =...Ch. 14.1 - For Exercises 2–7, expand the binomials. Use...Ch. 14.1 - For Exercises 2–7, expand the binomials. Use...Ch. 14.1 - For Exercises 2–7, expand the binomials. Use...Ch. 14.1 - For Exercises 2–7, expand the binomials. Use...Ch. 14.1 - For Exercises 2–7, expand the binomials. Use...Ch. 14.1 - For Exercises 2–7, expand the binomials. Use...Ch. 14.1 - For Exercises 8–13, rewrite each binomial of the...Ch. 14.1 - For Exercises 8–13, rewrite each binomial of the...Ch. 14.1 - For Exercises 8–13, rewrite each binomial of the...Ch. 14.1 - For Exercises 8–13, rewrite each binomial of the...Ch. 14.1 - For Exercises 8–13, rewrite each binomial of the...Ch. 14.1 - For Exercises 8–13, rewrite each binomial of the...Ch. 14.1 - For a > 0 and b > 0 , what happens to the signs of...Ch. 14.1 - For Exercises 15–18, evaluate the expression. (See...Ch. 14.1 - For Exercises 15–18, evaluate the expression. (See...Ch. 14.1 - For Exercises 15–18, evaluate the expression. (See...Ch. 14.1 - For Exercises 15–18, evaluate the expression. (See...Ch. 14.1 - True or false: 0 ! ≠ 1 !Ch. 14.1 - True or false: n! is defined for negative...Ch. 14.1 - True or false: n ! = n for n = 1 and 2 .Ch. 14.1 - 22. Show that ! Ch. 14.1 - Show that 6 ! = 6 ⋅ 5 !Ch. 14.1 - Show that 8 ! = 8 ⋅ 7 !Ch. 14.1 - For Exercises 25–32, evaluate the expression. (See...Ch. 14.1 - For Exercises 25–32, evaluate the expression. (See...Ch. 14.1 - For Exercises 25–32, evaluate the expression. (See...Ch. 14.1 - For Exercises 25–32, evaluate the expression. (See...Ch. 14.1 - For Exercises 25–32, evaluate the expression. (See...Ch. 14.1 - For Exercises 25–32, evaluate the expression. (See...Ch. 14.1 - For Exercises 25–32, evaluate the expression. (See...Ch. 14.1 - For Exercises 25–32, evaluate the expression. (See...Ch. 14.1 - Prob. 33PE Ch. 14.1 - Prob. 34PE Ch. 14.1 - Prob. 35PE Ch. 14.1 - For Exercises 33–36, find the first three terms of...Ch. 14.1 - Prob. 37PE Ch. 14.1 - Prob. 38PE Ch. 14.1 - Prob. 39PE Ch. 14.1 - Prob. 40PE Ch. 14.1 - For Exercises 39–50, use the binomial theorem to...Ch. 14.1 - Prob. 42PE Ch. 14.1 - Prob. 43PE Ch. 14.1 - Prob. 44PE Ch. 14.1 - Prob. 45PE Ch. 14.1 - For Exercises 39–50, use the binomial theorem to...Ch. 14.1 - Prob. 47PE Ch. 14.1 - For Exercises 39–50, use the binomial theorem to...Ch. 14.1 - Prob. 49PE Ch. 14.1 - Prob. 50PE Ch. 14.1 - Prob. 51PE Ch. 14.1 - Prob. 52PE Ch. 14.1 - Prob. 53PE Ch. 14.1 - Prob. 54PE Ch. 14.1 - Prob. 55PE Ch. 14.1 - For Exercises 51–56, find the indicated term of...Ch. 14.2 - Prob. 1SP Ch. 14.2 - Prob. 2SP Ch. 14.2 - Prob. 3SP Ch. 14.2 - Prob. 4SP Ch. 14.2 - Prob. 5SP Ch. 14.2 - Prob. 6SP Ch. 14.2 - Prob. 7SP Ch. 14.2 - Prob. 8SP Ch. 14.2 - Prob. 9SP Ch. 14.2 - Prob. 10SP Ch. 14.2 - Prob. 11SP Ch. 14.2 - Prob. 12SP Ch. 14.2 - Prob. 1PE Ch. 14.2 - Prob. 2PE Ch. 14.2 - Prob. 3PE Ch. 14.2 - Prob. 4PE Ch. 14.2 - Prob. 5PE Ch. 14.2 - Prob. 6PE Ch. 14.2 - Prob. 7PE Ch. 14.2 - Prob. 8PE Ch. 14.2 - Prob. 9PE Ch. 14.2 - Prob. 10PE Ch. 14.2 - Prob. 11PE Ch. 14.2 - Prob. 12PE Ch. 14.2 - Prob. 13PE Ch. 14.2 - Prob. 14PE Ch. 14.2 - Prob. 15PE Ch. 14.2 - Prob. 16PE Ch. 14.2 - Prob. 17PE Ch. 14.2 - Prob. 18PE Ch. 14.2 - Prob. 19PE Ch. 14.2 - Prob. 20PE Ch. 14.2 - Prob. 21PE Ch. 14.2 - Prob. 22PE Ch. 14.2 - Prob. 23PE Ch. 14.2 - Prob. 24PE Ch. 14.2 - Prob. 25PE Ch. 14.2 - Prob. 26PE Ch. 14.2 - Prob. 27PE Ch. 14.2 - Prob. 28PE Ch. 14.2 - Prob. 29PE Ch. 14.2 - For Exercises 21–32, find a formula for the nth...Ch. 14.2 - Prob. 31PE Ch. 14.2 - Prob. 32PE Ch. 14.2 - Edmond borrowed $500. To pay off the loan, he...Ch. 14.2 - Prob. 34PE Ch. 14.2 - Prob. 35PE Ch. 14.2 - Prob. 36PE Ch. 14.2 - Prob. 37PE Ch. 14.2 - Prob. 38PE Ch. 14.2 - Prob. 39PE Ch. 14.2 - Prob. 40PE Ch. 14.2 - Prob. 41PE Ch. 14.2 - Prob. 42PE Ch. 14.2 - Prob. 43PE Ch. 14.2 - Prob. 44PE Ch. 14.2 - Prob. 45PE Ch. 14.2 - Prob. 46PE Ch. 14.2 - For Exercises 39–54, find the sums. (See Examples...Ch. 14.2 - Prob. 48PE Ch. 14.2 - For Exercises 39–54, find the sums. (See Examples...Ch. 14.2 - Prob. 50PE Ch. 14.2 - Prob. 51PE Ch. 14.2 - Prob. 52PE Ch. 14.2 - Prob. 53PE Ch. 14.2 - For Exercises 39–54, find the sums. (See Examples...Ch. 14.2 - Prob. 55PE Ch. 14.2 - Prob. 56PE Ch. 14.2 - Prob. 57PE Ch. 14.2 - Prob. 58PE Ch. 14.2 - Prob. 59PE Ch. 14.2 - Prob. 60PE Ch. 14.2 - Prob. 61PE Ch. 14.2 - Prob. 62PE Ch. 14.2 - Prob. 63PE Ch. 14.2 - For Exercises 55–66, write the series in summation...Ch. 14.2 - Prob. 65PE Ch. 14.2 - Prob. 66PE Ch. 14.2 - Prob. 67PE Ch. 14.2 - Prob. 68PE Ch. 14.2 - Prob. 69PE Ch. 14.2 - Prob. 70PE Ch. 14.2 - 71. A famous sequence in mathematics is called the...Ch. 14.3 - Prob. 1SP Ch. 14.3 - Prob. 2SP Ch. 14.3 - Prob. 3SP Ch. 14.3 - Prob. 4SP Ch. 14.3 - Prob. 5SP Ch. 14.3 - Prob. 1PE Ch. 14.3 - Prob. 2PE Ch. 14.3 - Prob. 3PE Ch. 14.3 - Prob. 4PE Ch. 14.3 - Prob. 5PE Ch. 14.3 - Prob. 6PE Ch. 14.3 - Prob. 7PE Ch. 14.3 - Prob. 8PE Ch. 14.3 - Prob. 9PE Ch. 14.3 - For Exercises 7–12, the first term of an...Ch. 14.3 - Prob. 11PE Ch. 14.3 - Prob. 12PE Ch. 14.3 - Prob. 13PE Ch. 14.3 - Prob. 14PE Ch. 14.3 - Prob. 15PE Ch. 14.3 - Prob. 16PE Ch. 14.3 - Prob. 17PE Ch. 14.3 - Prob. 18PE Ch. 14.3 - Prob. 19PE Ch. 14.3 - Prob. 20PE Ch. 14.3 - Prob. 21PE Ch. 14.3 - Prob. 22PE Ch. 14.3 - Prob. 23PE Ch. 14.3 - Prob. 24PE Ch. 14.3 - Prob. 25PE Ch. 14.3 - Prob. 26PE Ch. 14.3 - Prob. 27PE Ch. 14.3 - Prob. 28PE Ch. 14.3 - Prob. 29PE Ch. 14.3 - For Exercises 25–33, write the nth term of the...Ch. 14.3 - For Exercises 25–33, write the nth term of the...Ch. 14.3 - Prob. 32PE Ch. 14.3 - Prob. 33PE Ch. 14.3 - Prob. 34PE Ch. 14.3 - Prob. 35PE Ch. 14.3 - Prob. 36PE Ch. 14.3 - Prob. 37PE Ch. 14.3 - Prob. 38PE Ch. 14.3 - Prob. 39PE Ch. 14.3 - Prob. 40PE Ch. 14.3 - Prob. 41PE Ch. 14.3 - Prob. 42PE Ch. 14.3 - Prob. 43PE Ch. 14.3 - For Exercises 42–49, find the number of terms, n,...Ch. 14.3 - Prob. 45PE Ch. 14.3 - Prob. 46PE Ch. 14.3 - Prob. 47PE Ch. 14.3 - Prob. 48PE Ch. 14.3 - Prob. 49PE Ch. 14.3 - Prob. 50PE Ch. 14.3 - Prob. 51PE Ch. 14.3 - Prob. 52PE Ch. 14.3 - Prob. 53PE Ch. 14.3 - Prob. 54PE Ch. 14.3 - For Exercises 53–66, find the sum of the...Ch. 14.3 - Prob. 56PE Ch. 14.3 - Prob. 57PE Ch. 14.3 - Prob. 58PE Ch. 14.3 - For Exercises 53–66, find the sum of the...Ch. 14.3 - Prob. 60PE Ch. 14.3 - Prob. 61PE Ch. 14.3 - Prob. 62PE Ch. 14.3 - Prob. 63PE Ch. 14.3 - Prob. 64PE Ch. 14.3 - For Exercises 53–66, find the sum of the...Ch. 14.3 - Prob. 66PE Ch. 14.3 - Find the sum of the first 100 positive integers.Ch. 14.3 - Prob. 68PE Ch. 14.3 - Prob. 69PE Ch. 14.3 - A triangular array of dominoes has one domino in...Ch. 14.4 - Prob. 1SP Ch. 14.4 - Prob. 2SP Ch. 14.4 - Prob. 3SP Ch. 14.4 - Prob. 4SP Ch. 14.4 - Prob. 5SP Ch. 14.4 - Prob. 6SP Ch. 14.4 - Prob. 7SP Ch. 14.4 - Prob. 8SP Ch. 14.4 - 1. a. A ______________sequence is a sequence in...Ch. 14.4 - Prob. 2PE Ch. 14.4 - Prob. 3PE Ch. 14.4 - Prob. 4PE Ch. 14.4 - Prob. 5PE Ch. 14.4 - Prob. 6PE Ch. 14.4 - Prob. 7PE Ch. 14.4 - Prob. 8PE Ch. 14.4 - Prob. 9PE Ch. 14.4 - Prob. 10PE Ch. 14.4 - Prob. 11PE Ch. 14.4 - Prob. 12PE Ch. 14.4 - Prob. 13PE Ch. 14.4 - Prob. 14PE Ch. 14.4 - Prob. 15PE Ch. 14.4 - Prob. 16PE Ch. 14.4 - Prob. 17PE Ch. 14.4 - Prob. 18PE Ch. 14.4 - Prob. 19PE Ch. 14.4 - Prob. 20PE Ch. 14.4 - For Exercises 19–24, write the first five terms of...Ch. 14.4 - Prob. 22PE Ch. 14.4 - Prob. 23PE Ch. 14.4 - For Exercises 19–24, write the first five terms of...Ch. 14.4 - Prob. 25PE Ch. 14.4 - Prob. 26PE Ch. 14.4 - Prob. 27PE Ch. 14.4 - Prob. 28PE Ch. 14.4 - For Exercises 25–30, find the n th term of each...Ch. 14.4 - Prob. 30PE Ch. 14.4 - Prob. 31PE Ch. 14.4 - Prob. 32PE Ch. 14.4 - Prob. 33PE Ch. 14.4 - Prob. 34PE Ch. 14.4 - Prob. 35PE Ch. 14.4 - Prob. 36PE Ch. 14.4 - Prob. 37PE Ch. 14.4 - Prob. 38PE Ch. 14.4 - Prob. 39PE Ch. 14.4 - Prob. 40PE Ch. 14.4 - Prob. 41PE Ch. 14.4 - If the second and third terms of a geometric...Ch. 14.4 - 43. Explain the difference between a geometric...Ch. 14.4 - Prob. 44PE Ch. 14.4 - Prob. 45PE Ch. 14.4 - Prob. 46PE Ch. 14.4 - Prob. 47PE Ch. 14.4 - Prob. 48PE Ch. 14.4 - Prob. 49PE Ch. 14.4 - Prob. 50PE Ch. 14.4 - Prob. 51PE Ch. 14.4 - Prob. 52PE Ch. 14.4 - For Exercises 47–56, find the sum of the geometric...Ch. 14.4 - For Exercises 47–56, find the sum of the geometric...Ch. 14.4 - For Exercises 47–56, find the sum of the geometric...Ch. 14.4 - For Exercises 47–56, find the sum of the geometric...Ch. 14.4 - Prob. 57PE Ch. 14.4 - Prob. 58PE Ch. 14.4 - Prob. 59PE Ch. 14.4 - Prob. 60PE Ch. 14.4 - Prob. 61PE Ch. 14.4 - Prob. 62PE Ch. 14.4 - Prob. 63PE Ch. 14.4 - Prob. 64PE Ch. 14.4 - Prob. 65PE Ch. 14.4 - Prob. 66PE Ch. 14.4 - Prob. 67PE Ch. 14.4 - Prob. 68PE Ch. 14.4 - Prob. 69PE Ch. 14.4 - Prob. 70PE Ch. 14.4 - Prob. 71PE Ch. 14.4 - For Exercises 1–18, determine if the sequence is...Ch. 14.4 - Prob. 2PRE Ch. 14.4 - Prob. 3PRE Ch. 14.4 - For Exercises 1–18, determine if the sequence is...Ch. 14.4 - Prob. 5PRE Ch. 14.4 - Prob. 6PRE Ch. 14.4 - Prob. 7PRE Ch. 14.4 - Prob. 8PRE Ch. 14.4 - For Exercises 1–18, determine if the sequence is...Ch. 14.4 - Prob. 10PRE Ch. 14.4 - Prob. 11PRE Ch. 14.4 - Prob. 12PRE Ch. 14.4 - For Exercises 1–18, determine if the sequence is...Ch. 14.4 - Prob. 14PRE Ch. 14.4 - Prob. 15PRE Ch. 14.4 - Prob. 16PRE Ch. 14.4 - For Exercises 1–18, determine if the sequence is...Ch. 14.4 - For Exercises 1–18, determine if the sequence is...Ch. 14 - Prob. 1RE Ch. 14 - Prob. 2RE Ch. 14 - Prob. 3RE Ch. 14 - Prob. 4RE Ch. 14 - Prob. 5RE Ch. 14 - Prob. 6RE Ch. 14 - Prob. 7RE Ch. 14 - Prob. 8RE Ch. 14 - Prob. 9RE Ch. 14 - 10. Find the middle term of the binomial...Ch. 14 - For Exercises 11–14, write the terms of the...Ch. 14 - Prob. 12RE Ch. 14 - Prob. 13RE Ch. 14 - Prob. 14RE Ch. 14 - Prob. 15RE Ch. 14 - Prob. 16RE Ch. 14 - Prob. 17RE Ch. 14 - Prob. 18RE Ch. 14 - For Exercises 19–20, find the sum of the...Ch. 14 - Prob. 20RE Ch. 14 - Prob. 21RE Ch. 14 - Prob. 22RE Ch. 14 - Prob. 23RE Ch. 14 - Prob. 24RE Ch. 14 - Prob. 25RE Ch. 14 - Prob. 26RE Ch. 14 - Prob. 27RE Ch. 14 - Prob. 28RE Ch. 14 - For Exercises 29–30, find the number of terms. 3 ,...Ch. 14 - Prob. 30RE Ch. 14 - Prob. 31RE Ch. 14 - Prob. 32RE Ch. 14 - For Exercises 33–36, find the sum of the...Ch. 14 - Prob. 34RE Ch. 14 - Prob. 35RE Ch. 14 - Prob. 36RE Ch. 14 - For Exercises 37–38, find the common ratio. 5 , 15...Ch. 14 - Prob. 38RE Ch. 14 - Prob. 39RE Ch. 14 - Prob. 40RE Ch. 14 - Prob. 41RE Ch. 14 - Prob. 42RE Ch. 14 - Prob. 43RE Ch. 14 - Prob. 44RE Ch. 14 - Prob. 45RE Ch. 14 - Prob. 46RE Ch. 14 - Prob. 47RE Ch. 14 - Prob. 48RE Ch. 14 - Prob. 49RE Ch. 14 - Prob. 50RE Ch. 14 - Prob. 51RE Ch. 14 - Prob. 1T Ch. 14 - Prob. 2T Ch. 14 - Prob. 3T Ch. 14 - Prob. 4T Ch. 14 - Find the sixth term. ( a − c 3 ) 8 Ch. 14 - Write the terms of the sequence. a n = − 3 n + 2 ;...Ch. 14 - 7. Find the sum. Ch. 14 - a. An 8-in. tomato seedling is planted on Sunday....Ch. 14 - Prob. 9T Ch. 14 - Find the common difference. 3 , 13 4 , 7 2 , ...Ch. 14 - 11. Find the common ratio. Ch. 14 - Prob. 12T Ch. 14 - Prob. 13T Ch. 14 - Prob. 14T Ch. 14 - Write an expression for the n th term of the...Ch. 14 - 16. Find the number of terms in the sequence. Ch. 14 - 17. Find the number of terms in the sequence. Ch. 14 - Prob. 18T Ch. 14 - 19. Find the sum of the geometric series. Ch. 14 - Prob. 20T Ch. 14 - Given a geometric series with a 6 = 9 and r = 3 ,...Ch. 14 - 22. Find the 18th term of the arithmetic sequence...Ch. 14 - Prob. 23T Ch. 14 - Prob. 1CRE Ch. 14 - Prob. 2CRE Ch. 14 - Prob. 3CRE Ch. 14 - Prob. 4CRE Ch. 14 - Prob. 5CRE Ch. 14 - Prob. 6CRE Ch. 14 - Prob. 7CRE Ch. 14 - Prob. 8CRE Ch. 14 - Prob. 9CRE Ch. 14 - Prob. 10CRE Ch. 14 - Prob. 11CRE Ch. 14 - Prob. 12CRE Ch. 14 - Prob. 13CRE Ch. 14 - For Exercises 14–17, factor completely. 6 a 2 − 17...Ch. 14 - Prob. 15CRE Ch. 14 - Prob. 16CRE Ch. 14 - For Exercises 14–17, factor completely. w 3 + 9 w...Ch. 14 - Prob. 18CRE Ch. 14 - Prob. 19CRE Ch. 14 - Prob. 20CRE Ch. 14 - For Exercises 18–25, solve the equation. ( 5 y − 2...Ch. 14 - Prob. 22CRE Ch. 14 - Prob. 23CRE Ch. 14 - Prob. 24CRE Ch. 14 - Prob. 25CRE Ch. 14 - 26. Write the expression as a single logarithm. Ch. 14 - 27. Use a calculator to approximate the value of...Ch. 14 - For Exercises 28–32, solve the inequality. Write...Ch. 14 - For Exercises 28–32, solve the inequality. Write...Ch. 14 - Prob. 30CRE Ch. 14 - For Exercises 28–32, solve the inequality. Write...Ch. 14 - Prob. 32CRE Ch. 14 - Prob. 33CRE Ch. 14 - Prob. 34CRE Ch. 14 - For Exercises 33–35, graph the equation. 35. Ch. 14 - Graph the solution set. x 2 9 + y 2 25 ≤ 1 Ch. 14 - 37. Given a. Determine the...Ch. 14 - Prob. 38CRE Ch. 14 - Write an equation of the line passing through the...Ch. 14 - Prob. 40CRE Ch. 14 - Prob. 41CRE Ch. 14 - Prob. 42CRE Ch. 14 - Prob. 43CRE Ch. 14 - Given the points ( 9 , − 4 ) and ( 3 , 0 ) , a....Ch. 14 - Prob. 45CRE Ch. 14 - The time t ( n ) (in minutes) required for a rat...Ch. 14 - The speed of a car varies inversely as the time to...Ch. 14 - Prob. 48CRE Ch. 14 - Prob. 49CRE Ch. 14 - 50. Against the wind, a plane can travel 4950 mi...

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