Notice the I have simpl prolonged the pattern in the table to create the next number in the sequence, specific 35.

You are watching: What is the next number? 0 3 8 15 24 35


The second column perform the difference between 2 successive numbers in the first column; this pillar is referred to as the an initial difference. The 3rd column is the difference in between 2 succeeding numbers in the 2nd column and is dubbed the 2nd difference.
I can not prove this because that you now, but I deserve to tell you that whenever you check out a distinction table choose this v the second difference column consistent then the 1st difference will be one arithmetic sequence and also the an initial column will certainly be a quadratic sequence.
In this case the the difference column is given by 2n + 1 whereby n≥ 1. The initial sequence is given by n2 - 1
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One technique to try is writing the difference between successive state to watch if a pattern develops. For example the difference in between 3 and also 0 is 3, the difference between 8 and 3 is 5, between 15 and also 8, 7.
So we have 3, 5, 7... Checking one more difference gives 24-15 = 9. Looks like the difference in between successive terms is the set of weird integers starting at 3. My guess is the next term will certainly be 24+11 = 35.

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Your question does not state how far out is required to "complete the sequence", but likely you gain the idea. If you are required to state a dominion for the nth term, then you room on to something a bit an ext complicated.
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