Homework Problem Sequences

Keep this document; you will be using it all year.

 

Your assignment sheets will often identify different sequences of problems to be completed as follows:

 

1.  Sequences E and F (see below) assign pairs of problems.

2.  Sequences A, B, C, & D assign “1” problem out of every “4” problems.

3.  One problem out of every “3” problems are assigned by one of the following:

a.  “Divisible by 3”:  Problem #’s that are divisible by 3.

b.  “Divisible by 3 minus 1”: Problem #’s  that are the problem before the problems #’s that are divisible by 3.

c.  “Divisible by 3 minus 2”: Problem #’s  that are the two problems before the problems #’s that are divisible by 3.

 

Homework Sequence for “Divisible by 4” Problems

 

  Sequence A                   Sequence B                    Sequence C                    Sequence D

 

    4         47                       2         45                       3         48                       1         46

    7         52                       5         50                       8         51                       6         49

   12        55                       10        53                       11        56                       9         54

   15        60                       13        58                       16        59                       14        57

   20        63                       18        61                       19        64                       17        62

   23        68                       21        66                       24        67                       22        65

   28        71                       26        69                       27        72                       25        70

   31        76                       29        74                       32        75                       30        73

   36        79                       34        77                       35        80                       33        78

   39        84                       37        82                       40        83                       38        81

   44        87                       42        85                       43        88                       41        86

 

Pattern for above sequences:

1.  Sequence A and B start with the even numbers 4 & 2 respectively, and then repeat the pattern of skipping 3 and then 5 problems.

2.  Sequence C and D start with the odd numbers 3 & 1 respectively, and then repeat the pattern of skipping 5 and then 3 problems.

 

Homework Sequence for “Even/Odd” Problems

 

                       Sequence E                                                           Sequence F

 

       1            26           53           78                                3            28           55           80

       2            29           54           81                                4            31           56           83

       5            30           57           82                                7            32           59           84

       6            33           58           85                                8            35           60           87

       9            34           61           86                                11           36           63           88

      10           37           62           89                                12           39           64           91

      13           38           65           90                                15           40           67           92

      14           41           66           93                                16           43           68           95

      17           42           69           94                                19           44           71           96

      18           45           70           97                                20           47           72           99

      21           46           73           98                                23           48           75          100

      22           49           74          101                               24           51           76          103

      25           50           77          102                               27           52           79          104

 

Pattern:  Sequence E starts with problems 1&2 and sequence F starts with problems 3&4 and then repeats the pattern of skipping two problems then doing two problems.