Question:
Which number does not belong in the series below?
2, 5, 10, 17, 26, 37, 50, 64
A) 17
B) 37
C) 64
D) 26
Answer D) 64
Explanation:
Given series is 2,5,10,17,26,37,50,64.
Here the 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.
Which number does not belong in the series below?
2, 5, 10, 17, 26, 37, 50, 64
A) 17
B) 37
C) 64
D) 26
Answer D) 64
Explanation:
Given series is 2,5,10,17,26,37,50,64.
Here the 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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