Question 959875: What number comes next in the following number sequence?
3,4,6,15,9,48,12....
Answer by Edwin McCravy(20056)   (Show Source):
You can put this solution on YOUR website!
3,4,6,15,9,48,12....
The odd numbered terms are just
3, 6, 9, 12,... which is easy, just the multiples of 3.
The even numbered term are
4, 15, 48
So it amounts to finding the next term of 4,15,48,...
You can easily find a quadratic polynomial that has those
first three terms:
11n^2-22n+15
11(1)^2-22(1)+15 = 11-22+15 = 4
11(2)^2-22(2)+15 = 44-44+15 = 15
11(3)^2-22(3)+15 = 99-66+15 = 48
So the next term is:
11(4)^2-22(4)+15 = 176-88+15 = 103
So 103 is certainly a possible answer. But there are many other
possibilities.
Does your teacher know that there are an infinite number of different
sequences that have all those given first seven terms? If so, how does
your teacher expect you to pick out the very one he has in mind?
Edwin
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