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ВОРОТА | GATE-CS-2014- (Set-3) | Вопрос 65

Какой номер не входит в серию ниже?
2, 5, 10, 17, 26, 37, 50, 64
(А) 17
(Б) 37
(С) 64
(D) 26

Ответ: (с)
Объяснение:

Given series is 2,5,10,17,26,37,50,64.

Here total number of terms are 8..i.e. A(1) to A(8).

For the 1st 7 terms, you can observe the relationship 
between the terms which is 
A(n) = [ A(n-1) - {A(n-1) + A(n-2)} + 2 ] where n >= 3

Now for the 8th term i.e. A(8), this relationship violates.
According to the relationship,
A(8) = [A(7) + {A(7) - A(6)} + 2 ]
= [50 + {50 - 37} + 2 ]
= 50 + 13 + 2
= 65.
But in the series it is 64. Hence 64 doesn't belong to 
the series. 

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ВОРОТА | GATE-CS-2014- (Set-3) | Вопрос 65

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