Question Details

Find out the wrong number.
2, 5, 10, 17, 26, 37, 51

Options

A

5

B

2

C

51

D

10

E

17

Show Answer

Correct Answer :

Option C

51

Solution :

The correct option is 51.

To find the wrong number in the given sequence, let us analyze the pattern of the terms:
2, 5, 10, 17, 26, 37, 51

We can look at the differences between consecutive terms:
5 - 2 = 3
10 - 5 = 5
17 - 10 = 7
26 - 17 = 9
37 - 26 = 11
Notice that the differences between consecutive numbers are successive odd numbers: 3, 5, 7, 9, 11.

Following this pattern, the next difference should be 13.
Therefore, the term after 37 should be:
37 + 13 = 50

Alternatively, each term in the sequence can be expressed in the form of n2+1 where n represents consecutive integers starting from 1:
12+1=2
22+1=5
32+1=10
42+1=17
52+1=26
62+1=37
72+1=50

Since the last term in the given sequence is 51 instead of 50, 51 is the incorrect number.

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