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Identify the common difference of the following
show your solution .
a. { 0 ,12 , 24 , 36 ,...} b. { -14, -7 , 0 ,...}​

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Answer:

a. 0 , 12 , 24 , 36 , ...

d = a2- a1 = 12 - 0 = 12

d = a3 - a2 = 24 - 12 = 12

d = a4 - a3 = 36 - 24 = 12

Thus, the common difference(d) is 12

b. -14 , -7 , 0 , ...

d = a2 - a1 = -7 - (-14) = -7 + 14 = 7

d = a3 - a2 = 0 - (-7) = 0 + 7 = 7

Thus, the common difference(d) is 7

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