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 format_list_bulleted