The sequence.

Logic Level 3

What is the next number in the sequence below such that it has a particular pattern? 1 , 3 , 1 , 11 , 39 , . . . \large -1, \ -3, \ -1, \ 11, \ 39, \ ...


The answer is 89.

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1 solution

Thành Đạt Lê
Aug 18, 2017

The pattern is: f ( x ) = x 3 ( x + 1 ) 2 \large f(x) = x^3 - (x + 1)^2 So the next number is: f ( 5 ) = 5 3 6 2 = 125 36 = 89 \large f(5) = 5^3 - 6^2 = 125 - 36 = 89 Quite hard actually!

Can you prove this for all x x ?

Zach Abueg - 3 years, 9 months ago

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