Math CentralQuandaries & Queries


Question from jamie, a parent:

what is the next number in the sequence and what is the relationship of the numbers? 36,16,20,10,12, _


There is no unique answer to this type of question. One pattern I see in this sequence is

start with 36
decrease by 20
increase by 4
decrease by 10
increase by 2

So the increases and decreases alternate. Each decrease is half the previous decrease and each increase is half the previous increase.

Maybe you see something different,

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