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## What is the Next Number?

Series teasers are where you try to complete the sequence of a series of letters, numbers or objects.

 Puzzle ID: #49301 Fun: (2.3) Difficulty: (3.02) Category: Series Submitted By: AndrewWalker

What is the next number in this series?

6, 14, 36, 98, 276, ...

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 ThinksForFun Feb 26, 2012 Very good! Or how about this? If n is the ordinal value of the term in the series, then the nth term in the series is the (n-1)th term * 3 - (2 + 2^(n-1)), given that the first term is provided as 6. So the second term is: 6 * 3 - (2 + 2^(2-1)) = 18 - (2 + 2^1) = 18 - (2 + 2) = 18 - 4 = 14, the third term is: 14 * 3 - (2 + 2^(3-1)) = 42 - (2 + 2^2) = 42 - (2 + 4) = 42 - 6 = 36, the fourth term is: 36 * 3 - (2 + 2^(4-1)) = 108 - (2 + 2^3) = 108 - (2 + = 108 - 10 = 98, the fifth term is: 98 * 3 - (2 + 2^(5-1)) = 294 - (2 + 2^4) = 294 - (2 + 16) = 294 - 18 = 276, and the next (6th) term is: 276 * 3 - (2 + 2^(6-1)) = 828 - (2 + 2^5) = 828 - (2 + 32) = 828 - 34 = 794. rashad Oct 30, 2012 Simply : Other possibility : 1) Calculate the difference between the two consecutive numbers: 14 - 6 = 8 36 - 14 = 22 98 - 36 = 62 276 - 98 = 178 2) Find the pattern between the differences : _ 8*3 = 24 - (2) = 22 _ 22*3 = 66 - (4) = 62 _ 62*3 = 186 - ( = 178 3) Notice the number between parantheses are the direct multiplication of the precedent by *2. The next number would be : _ 178*3 = 534 - (16) = 518 _________ The next number in the series is : 276 + 518 = 794, your answer