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High School
Math
Calculus
Precalculus Enhanced with Graphing Utilities
Chapter 12.1, Problem 88AYU
Chapter 12.1, Problem 88AYU
BUY
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN:
9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher:
PEARSON
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1 Graphs
2 Functions And Their Graphs
3 Linear And Quadratic Functions
4 Polynomial And Rational Functions
5 Exponential And Logarithmic Functions
6 Trigonometric Functions
7 Analytic Trigonometry
8 Applications Of Trigonometric Functions
9 Polar Coordinates; Vectors
10 Analytic Geometry
11 Systems Of Equations And Inequalities
12 Sequences; Induction; The Binomial Theorem
13 Counting And Probability
14 A Preview Of Calculus: The Limit, Derivative, And Integral Of A Function
A.1 Algebra Essentials
A.10 Nth Roots; Rational Exponents
A.2 Geometry Essentials
A.3 Polynomials
A.4 Synthetic Division
A.5 Rational Expressions
A.6 Solving Equations
A.7 Complex Numbers; Quadratic Equations In The Complex Number System
A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
A.9 Interval Notation; Solving Inequalities
B The Limit Of A Sequence; Infinite Series
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12.1 Sequences
12.2 Arithmetic Sequences
12.3 Geometric Sequences; Geometric Series
12.4 Mathematical Induction
12.5 The Binomial Theorem
Chapter Questions
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Problem 1AYU: For the function f( x )= x1 x , find f( 2 ) and f( 3 ) . (pp.60-63)
Problem 2AYU: True or False A function is a relation between two sets D and R so that each element x in the first...
Problem 3AYU: If 1000 is invested at 4 per annum compounded semiannually, how much is in the account after 2...
Problem 4AYU: How much do you need to invest now at 5 per annum compounded monthly so that in 1 year you will have...
Problem 5AYU
Problem 6AYU: True or False The notation a 5 represents the fifth term of a sequence.
Problem 7AYU: If n0 is an integer, then n!= ________ When n2 .
Problem 8AYU: The sequence a 1 =5 , a n =3 a n1 is an example of a( n ) _____ sequence. (a) alternating(b)...
Problem 9AYU: The notation a 1 + a 2 + a 3 ++ a n = k=1 n a k is an example of ______ notation.
Problem 10AYU: k=1 n k=1+2+3++n = ______. (a) n! (b) n( n+1 ) 2 (c) nk (d) n( n+1 )( 2n+1 ) 6
Problem 11AYU: In Problems 11-16, evaluate each factorial expression. 10!
Problem 12AYU: In Problems 11-16, evaluate each factorial expression. 9!
Problem 13AYU: In Problems 11-16, evaluate each factorial expression. 9! 6!
Problem 14AYU: In Problems 11-16, evaluate each factorial expression. 12! 10!
Problem 15AYU: In Problems 11-16, evaluate each factorial expression. 3!7! 4!
Problem 16AYU: In Problems 11-16, evaluate each factorial expression. 5!8! 3!
Problem 17AYU: In Problems 17-28, write down the first five terms of each sequence. { s n }={ n }
Problem 18AYU: In Problems 17-28, write down the first five terms of each sequence. { s n }={ n 2 +1 }
Problem 19AYU: In Problems 17-28, write down the first five terms of each sequence. { a n }={ n n+2 }
Problem 20AYU: In Problems 17-28, write down the first five terms of each sequence. { b n }={ 2n+1 2n }
Problem 21AYU: In Problems 17-28, write down the first five terms of each sequence. { c n }={ ( 1 ) n+1 n 2 }
Problem 22AYU: In Problems 17-28, write down the first five terms of each sequence. { d n }={ ( 1 ) n1 ( n 2n1 ) }
Problem 23AYU: In Problems 17-28, write down the first five terms of each sequence. { s n }={ 2 n 3 n +1 }
Problem 24AYU: In Problems 17-28, write down the first five terms of each sequence. { s n }={ ( 4 3 ) n }
Problem 25AYU: In Problems 17-28, write down the first five terms of each sequence. { t n }={ ( 1 ) n ( n+1 )( n+2...
Problem 26AYU: In Problems 17-28, write down the first five terms of each sequence. { a n }={ 3 n n }
Problem 27AYU: In Problems 17-28, write down the first five terms of each sequence. { b n }={ n e n }
Problem 28AYU: In Problems 17-28, write down the first five terms of each sequence. { c n }={ n 2 2 n }
Problem 29AYU: In Problems 29-36, the given pattern continues. Write down the nth term of a sequence { a n }...
Problem 30AYU: In Problems 29-36, the given pattern continues. Write down the nth term of a sequence { a n }...
Problem 31AYU: In Problems 29-36, the given pattern continues. Write down the nth term of a sequence { a n }...
Problem 32AYU: In Problems 29-36, the given pattern continues. Write down the nth term of a sequence { a n }...
Problem 33AYU: In Problems 29-36, the given pattern continues. Write down the nth term of a sequence { a n }...
Problem 34AYU: In Problems 29-36, the given pattern continues. Write down the nth term of a sequence { a n }...
Problem 35AYU: In Problems 29-36, the given pattern continues. Write down the nth term of a sequence { a n }...
Problem 36AYU: In Problems 29-36, the given pattern continues. Write down the nth term of a sequence { a n }...
Problem 37AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =2 ; a n...
Problem 38AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =3 ; a n...
Problem 39AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =2 ; a n...
Problem 40AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =1 ; a n...
Problem 41AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =5 ; a n...
Problem 42AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =2 ; a n...
Problem 43AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =3 ; a n...
Problem 44AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =2 ; a n...
Problem 45AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =1 ; a 2...
Problem 46AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =1 ; a 2...
Problem 47AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =A ; a n...
Problem 48AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =A ; a n...
Problem 49AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 = 2 ; a n...
Problem 50AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 = 2 ; a n...
Problem 51AYU: In Problems 51-60, write out each sum. k=1 n ( k+2 )
Problem 52AYU: In Problems 51-60, write out each sum. k=1 n ( 2k+1 )
Problem 53AYU: In Problems 51-60, write out each sum. k=1 n k 2 2
Problem 54AYU: In Problems 51-60, write out each sum. k=1 n ( k+1 ) 2
Problem 55AYU: In Problems 51-60, write out each sum. k=0 n 1 3 k
Problem 56AYU: In Problems 51-60, write out each sum. k=0 n ( 3 2 ) k
Problem 57AYU: In Problems 51-60, write out each sum. k=0 n1 1 3 k+1
Problem 58AYU: In Problems 51-60, write out each sum. k=0 n1 ( 2k+1 )
Problem 59AYU: In Problems 51-60, write out each sum. k=2 n ( 1 ) k lnk
Problem 60AYU: In Problems 51-60, write out each sum. k=3 n ( 1 ) k+1 2 k
Problem 61AYU: In Problems 61-70, express each sum using summation notation. 1+2+3+...+20
Problem 62AYU: In Problems 61-70, express each sum using summation notation. 1 3 + 2 3 + 3 3 +...+ 8 3
Problem 63AYU: In Problems 61-70, express each sum using summation notation. 1 2 + 2 3 + 3 4 +...+ 13 13+1
Problem 64AYU: In Problems 61-70, express each sum using summation notation. 1+3+5+7+...+[ 2( 12 )1 ]
Problem 65AYU: In Problems 61-70, express each sum using summation notation. 1 1 3 + 1 9 1 27 +...+ ( 1 ) 6 ( 1 3...
Problem 66AYU: In Problems 61-70, express each sum using summation notation. 2 3 4 9 + 8 27 ...+ ( 1 ) 12 ( 2 3 )...
Problem 67AYU: In Problems 61-70, express each sum using summation notation. 3+ 3 2 2 + 3 3 3 +...+ 3 n n
Problem 68AYU: In Problems 61-70, express each sum using summation notation. 1 e + 2 e 2 + 3 e 3 +...+ n e n
Problem 69AYU: In Problems 61-70, express each sum using summation notation. a+( a+d )+( a+2d )+...+( a+nd )
Problem 70AYU: In Problems 61-70, express each sum using summation notation. a+ar+a r 2 +...+a r n1
Problem 71AYU: In Problems 71-82, find the sum of each sequence. k=1 40 5
Problem 72AYU: In Problems 71-82, find the sum of each sequence. k=1 50 8
Problem 73AYU: In Problems 71-82, find the sum of each sequence. k=1 40 k
Problem 74AYU: In Problems 71-82, find the sum of each sequence. k=1 24 ( k )
Problem 75AYU: In Problems 71-82, find the sum of each sequence. k=1 20 ( 5k+3 )
Problem 76AYU: In Problems 71-82, find the sum of each sequence. k=1 26 ( 3k7 )
Problem 77AYU: In Problems 71-82, find the sum of each sequence. k=1 16 ( k 2 +4 )
Problem 78AYU: In Problems 71-82, find the sum of each sequence. k=0 14 ( k 2 4 )
Problem 79AYU: In Problems 71-82, find the sum of each sequence. k=10 60 ( 2k )
Problem 80AYU: In Problems 71-82, find the sum of each sequence. k=8 40 ( 3k )
Problem 81AYU: In Problems 71-82, find the sum of each sequence. k=5 20 k 3
Problem 82AYU: In Problems 71-82, find the sum of each sequence. k=4 24 k 3
Problem 83AYU
Problem 84AYU
Problem 85AYU
Problem 86AYU
Problem 87AYU
Problem 88AYU
Problem 89AYU
Problem 90AYU
Problem 91AYU
Problem 92AYU
Problem 93AYU
Problem 94AYU
Problem 95AYU
Problem 96AYU
Problem 97AYU
Problem 98AYU
Problem 99AYU
Problem 100AYU
Problem 101AYU
Problem 102AYU
Problem 103AYU
Problem 104AYU
Problem 105AYU
Problem 106AYU
Problem 107AYU
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