We require to discover the next ax of the sequence. If us observe the succession we check out that the terms room increasing and also decreasing one ~ the other. To calculate the sample of increase and also decrease we have the right to do the following.

You are watching: 3, -6, 12, 4, 20, ? answer

3-(-6) =9

-6-12=-18

12-4=8

4-20=-16

If we ignore the an unfavorable sign we have the right to observe the the difference in between the continually numbers has actually a pattern.

the an initial difference is 9 and also the next difference is double that that the an initial one.

The third distinction is one much less than the very first one and also the fourth distinction is double that that the third one.

So by logic the next number should be one less than 8 the is,

8-1=7.

Since the sample in the succession is the of increase and also decrease.

We should subtract 7 from 20.

=20-7=13.

Therefore, the next term in the sequence needs to be 13.


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