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 Problem 4AYU: True or False The notation a5 represents the fifth term of a sequence.
Problem 5AYU: True or False If n2 is am integer, then n!=n(n1)321 Problem 6AYU: The sequence , is an example of _____sequence.
(a) alternating (b) recursive
(c) Fibonacci (d)... Problem 7AYU: The notation a 1 + a 2 + a 3 ++ a n = k=1 n a k is an example of ______ notation. Problem 8AYU: ______.
(a) (b)
(c) (d)
Problem 9AYU: In Problems 11-16, evaluate each factorial expression.
Problem 10AYU: In Problems 11-16, evaluate each factorial expression.
Problem 11AYU: In Problems 11-16, evaluate each factorial expression. 9! 6! Problem 12AYU: In Problems 11-16, evaluate each factorial expression.
Problem 13AYU: In Problems 9 – 14, evaluate each factorial expression.
13.
Problem 14AYU: In Problems 11-16, evaluate each factorial expression.
Problem 15AYU: In Problems 17-28, write down the first five terms of each sequence. { s n }={ n } Problem 16AYU: In Problems 17-28, write down the first five terms of each sequence. { s n }={ n 2 +1 } Problem 17AYU: In Problems 17-28, write down the first five terms of each sequence.
Problem 18AYU: In Problems 17-28, write down the first five terms of each sequence.
Problem 19AYU: In Problems 17-28, write down the first five terms of each sequence.
Problem 20AYU: In Problems 17-28, write down the first five terms of each sequence.
Problem 21AYU: In Problems 15 – 26, write down the first five terms of each sequence.
21.
Problem 22AYU: In Problems 17-28, write down the first five terms of each sequence.
Problem 23AYU: In Problems 17-28, write down the first five terms of each sequence. { t n }={ ( 1 ) n ( n+1 )( n+2... Problem 24AYU: In Problems 17-28, write down the first five terms of each sequence.
Problem 25AYU: In Problems 17-28, write down the first five terms of each sequence. { b n }={ n e n } Problem 26AYU: In Problems 17-28, write down the first five terms of each sequence.
Problem 27AYU: In Problems 29-36, the given pattern continues. Write down the nth term of a sequence suggested by... Problem 28AYU: In Problems 29-36, the given pattern continues. Write down the nth term of a sequence suggested by... Problem 29AYU: In Problems 29-36, the given pattern continues. Write down the nth term of a sequence suggested by... Problem 30AYU: In Problems 29-36, the given pattern continues. Write down the nth term of a sequence suggested by... 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 suggested by... Problem 34AYU: In Problems 29-36, the given pattern continues. Write down the nth term of a sequence suggested by... Problem 35AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =2 ; a n... Problem 36AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =3 ; 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 =1 ; a n... Problem 39AYU: In Problems 35 – 48, a sequence is defined recursively. Write down the first five terms.
39.
Problem 40AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms.
;
Problem 41AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =3 ; 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.
; ;
Problem 44AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =1 ; a 2... Problem 45AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 =A ; a n... Problem 46AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms.
; ;... Problem 47AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 = 2 ; a n... Problem 48AYU: In Problems 37-50, a sequence is defined recursively. Write down the first five terms. a 1 = 2 ; a n... Problem 49AYU: In Problems 51-60, write out each sum.
Problem 50AYU: In Problems 51-60, write out each sum. k=1 n ( 2k+1 ) Problem 51AYU: In Problems 51-60, write out each sum. k=1 n k 2 2 Problem 52AYU: In Problems 51-60, write out each sum. k=1 n ( k+1 ) 2 Problem 53AYU: In Problems 51-60, write out each sum. k=0 n 1 3 k Problem 54AYU: In Problems 51-60, write out each sum. k=0 n ( 3 2 ) k Problem 55AYU: In Problems 51-60, write out each sum. k=0 n1 1 3 k+1 Problem 56AYU: In Problems 51-60, write out each sum. k=0 n1 ( 2k+1 ) Problem 57AYU: In Problems 51-60, write out each sum.
Problem 58AYU: In Problems 51-60, write out each sum. k=3 n ( 1 ) k+1 2 k Problem 59AYU: In Problems 61-70, express each sum using summation notation. 1+2+3+...+20 Problem 60AYU: In Problems 61-70, express each sum using summation notation. 1 3 + 2 3 + 3 3 +...+ 8 3 Problem 61AYU: In Problems 61-70, express each sum using summation notation. 1 2 + 2 3 + 3 4 +...+ 13 13+1 Problem 62AYU: In Problems 61-70, express each sum using summation notation.
Problem 63AYU: In Problems 61-70, express each sum using summation notation. 1 1 3 + 1 9 1 27 +...+ ( 1 ) 6 ( 1 3... Problem 64AYU: In Problems 61-70, express each sum using summation notation.
Problem 65AYU: In Problems 61-70, express each sum using summation notation. 3+ 3 2 2 + 3 3 3 +...+ 3 n n Problem 66AYU: In Problems 61-70, express each sum using summation notation.
Problem 67AYU: In Problems 61-70, express each sum using summation notation. a+( a+d )+( a+2d )+...+( a+nd ) Problem 68AYU: In Problems 61-70, express each sum using summation notation.
Problem 69AYU: In Problems 71-82, find the sum of each sequence.
Problem 70AYU: In Problems 71-82, find the sum of each sequence. k=1 50 8 Problem 71AYU: In Problems 71-82, find the sum of each sequence.
Problem 72AYU: In Problems 71-82, find the sum of each sequence. k=1 24 ( k ) Problem 73AYU: In Problems 71-82, find the sum of each sequence. k=1 20 ( 5k+3 ) Problem 74AYU: In Problems 71-82, find the sum of each sequence.
Problem 75AYU: In Problems 71-82, find the sum of each sequence.
Problem 76AYU: In Problems 71-82, find the sum of each sequence.
Problem 77AYU: In Problems 71-82, find the sum of each sequence. k=10 60 ( 2k ) Problem 78AYU: In Problems 71-82, find the sum of each sequence. k=8 40 ( 3k ) Problem 79AYU: In Problems 71-82, find the sum of each sequence.
Problem 80AYU: In Problems 71-82, find the sum of each sequence.
Problem 81AYU: Credit Card Debt John has a balance of 3000 on his Discover card, which charges 1 interest per month... Problem 82AYU: Trout Population A pond currently contains 2000 trout. A fish hatchery decides to add 20 trout each... Problem 83AYU: Car Loans Phil bought a car by taking out a loan for 18,500 at 0.5 interest per month. Phils normal... Problem 84AYU: Environmental Control The Environmental Protection Agency (EPA) determines that Maple Lake has 250... Problem 85AYU: Growth of a Rabbit Colony A colony of rabbits begins with one pair of mature rabbits, which produces... Problem 87AYU: The Pascal Triangle The triangular array shown, called the Pascal triangle, is partitioned using... Problem 88AYU: Fibonacci Sequence Use the result of Problem 86 to do the following problems. List the first 11... Problem 97AYU: Triangular Numbers A triangular number is a term of the sequence u1=1un+1=un+(n+1) List the first... Problem 98AYU: Challenge Problem For the sequence given in Problem 99, show that un+1=(n+1)(n+2)2 Triangular... Problem 99AYU: Challenge Problem For the sequence given in Problem 99, show that un+1+un=(n+1)2 Triangular Numbers... Problem 101AYU: Write a paragraph that explains why the numbers found in Problem 99 are called triangular.... Problem 102AYU: If $2500 is invested at 3% compounded monthly, find the amount that results after a period of 2... Problem 103AYU: Write the complex number 1i in polar form. Express the argument in degrees. Problem 104AYU: For v=2ij and w=i+2j , find the dot product vw . Problem 105AYU: Find an equation of the parabola with vertex and focus .
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