how to find the common difference in arithmetic sequence

Pre requisite : how to add of integers, how to subtract  integers
To get the common difference in arithmetic sequence, subtract  the 2nd term to the first term, or  3rd term to 2nd term.....
Examples
1. 2, 4, 6, 8,....
    4 - 2 = 2      so the common difference is 2.. upon evaluating 6-(4), 8-(6), ....    will reveal
                        a common difference of 2 
6-(4)=
(6) +(-4) = 2

8-(6)=
8+(-6) =   2
                       knowing the common difference will give the discovery of succeeding pattern are
                        arithmetic sequence.
                       common difference is used in generating the next pattern as
                       2 + 2 = 4,  4+2 = 6,   6 + 2 = 8       so the arithmetic sequence is 2, 4, 6, 8 ......
                   

        

2. 12, 6, 0, -6, -12....
    (6)-(12) =
     (6) + (-12) = -6    so the common difference  is -6 upon evaluating 0 -(6), (-6)-(0), (-12)-(-6)...
                          will reveal a common difference of -6.
                          exposing....
     0 - (6)=
     0 +(-6)= -6    difference

     (-6)-(0) =
     (-6) + 0  = -6  difference

     (-12) - (-6)=
     (-12) + (6) = -6   difference     therefore the common difference is -6




Exercises:  Find the difference of the following arithmetic sequence.
1. 5, 10, 15, 20, .......
2. 3, 6 , 9, 12, .......
3. 100, 75, 50, 25, ....
4. 1/2, 1, 3/2, 4/2,.....
5. -4, -1, 2, .....
6. 3, 0, -3, -6, .....     







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