37, 50, 65, 82, 101, 122, 143
Find the wrong number in the following number series.
Correct Answer :
143
Solution :
The correct option is 143.
To find the wrong number in the given series, let us analyze the pattern followed by the numbers in the sequence:
37, 50, 65, 82, 101, 122, 143
Let us express each term in relation to consecutive squares:
Alternatively, we can look at the differences between consecutive terms:
50 - 37 = 13
65 - 50 = 15
82 - 65 = 17
101 - 82 = 19
122 - 101 = 21
The differences are consecutive odd numbers starting from 13.
Following this pattern, the next difference should be 23:
122 + 23 = 145
Therefore, the last number should be 145 instead of 143. Hence, 143 is the wrong number in the series.
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