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You are watching: 3, -6, 12, 4, 20, ? pattern The problem is that there room an infinite variety of sequences that start with this 5 numbers.

The most most likely solution search is 13:

start with 3: subtract 9, add 18, subtract 8, include 16, subtract 7, include 14, etc. Every time, minimize the number subtracted by one, and double...

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The problem is the there are an infinite number of sequences that begin with these 5 numbers.

The most likely solution search is 13:

Beginning v 3: subtract 9, include 18, subtract 8, add 16, subtract 7, include 14, etc. Each time, alleviate the number subtracted by one, and twin that number come add.

So, start with 3: 3-9 = -6, -6+2(9) = 12, 12-8 = 4, 4+2(8) = 20, 20-7 = 13, etc.

*****

Any five noncollinear points specifies a unique quartic function. Here, if f(x) is the xth entrance in the sequence, let

f(x) = 1/24(103x^4-1242x^3+5201x^2-8670x+4680)

then f(1) = 3, f(2) = -6 etc. Climate the sixth number will be 213, followed by 839, etc.

*****

You perform not have actually to specify a means to gain the following number in a sequence—you could pick an arbitrary number, so any kind of number is "correct" in the sense.

See more: How Many Gallons Does A Ford Expedition Hold ? Ford Expedition Gas Mileage And Engine Specs

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