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More ways to get Braingle...

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:AndrewWalkerAfi*****!

 

 

 



What is the next number in this series?

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





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Comments

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.
rashadAma*
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



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