A problem by Juliet Hanson

Level pending

what is the next number?

1 , 1 , 0 , 2 , -4 , 12 ,16 , ?

-8 18 32 -4

Juliet Hanson by Juliet Hanson , 22, Iran

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2 solutions

Satya Mishra
Apr 14, 2015

1+1-2=0 , -4+12-(-8) is 3rd term 16

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Juliet Hanson
Apr 8, 2015

a(1)=a (2)=1,a(n+2)=[a (n)-a (n+1)]×2, n=1,2,3,...

a (3)=a (1+2)--> n=1--> a (3)=[a (1)-a (2)] 2--> a (3)=[1-1] 2=0

a (4)=a (2+2)--> n=2--> a (4)=[a (2)-a (n+1)] 2--> a (4)=[1-0]×2 =2--> a (4)=2 ...

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?=a (8)--> n+2=8--> n=6--> a (8)=[a (6)-a (6+1)] 2 --> a (6)=12, a (6+1)=a (7)=16--> a (8)=[12-16] 2 --> a (8)=-4×2=-8 --> ?=a (8)= -8

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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