Inductive Reasoning
A. 3, 5, 9, 12, 15, 18 ____,____,_____,_____,_____
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21,27,30,36
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The difference between the numbers is 3.
So 6 is the 2nd term x by 3 = 6. 12 is the 4th term x by 3 is 12.
the 10th term would be, 10 x 3 = 30.
nth x by 3 = #(Result)
Conversely, 36/3 = 12. 36 is the 12th term., 27/3 = 9. 27 is the 9th term. etc.
Find the difference between the numbers in the sequence, then you will have your “key”, use that to work out the nth term.
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