Question

The numbers in the four times table are

4,8,12,16 36,40,44...100,104,108...

I could shift the four times table up by 3 and end up with

7,11,15,19.. 39,43,47 103,107,111...

a. What do you notice about the differences between consecutive terms in each sequence?

b. What can you say if the numbers are all odd? (Example of the format of the answer I am looking for: This is the table of an

(select one even/odd) number shifted by an

number).

c. What about if they are all even? or a mixture of odd and

d. What can you say if the units digits are all identical?

(even/odd

even?

e. What if there are only two different units digits?

f. What can you say if the difference between two numbers is prime? g. What can you say if the difference between two numbers is composite (not

prime)? h. Can you explain how you worked out the table and shift each time, and why

your method will always work?​

Answer 1

Answer:

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