Saturday, February 13, 2016

Pattern Recognition - 89

Find out the next two numbers in the series.

1,1 ,2 ,4 , 7 , 13 , 24 , 44 , _ , _ ,.......


Answer

Have you heard about Fibonacci series?
Fibonacci number - Wikipedia, the free encyclopedia
Tn= Tn-1 + Tn-2

Given series is not Fibonacci but similar to that

Tn=Tn-1 + Tn-2 +Tn-3

4   = 1+ 1 +2
7   = 4 + 2 +1
13 = 2 + 4 +7
24 =4  +7  +13
44 =7 +13 +24

Next two numbers    13+24+44 = 81
                                24+44+81 =149

1,1 ,2 ,4 , 7 , 13 , 24 , 44 , 81 , 149 ,.......

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