Question 103

In the following series find the one number that is wrong
2, 3, 13, 37, 86, 167, 288

Solution

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We have the series as : 2,3,13,37,86,167,288
Now taking difference between 2 consecutive terms :
3-2 =1 
13-3 =10
37-13=24
86-37 = 49
167-86 = 81
288-167 = 121
Now if you observe the differences are squares of consecutive odd numbers except 13-3 and 37-13 and so we can say in place of 13 , it should have been 12 
Hence 13 is the wrong number .

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