In each of the following number series, the wrong number is given, find out that number. 101, 103, 106, 111, 118, 127
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In each of the following number series, the wrong number is given, find out that number. 101, 103, 106, 111, 118, 127
101
103
118
127
106
The differences are: 103-101=2, 106-103=3, 111-106=5, 118-111=7, 127-118=9. The sequence of differences is 2, 3, 5, 7, 9. The sequence should be prime numbers (2, 3, 5, 7, 11). If the difference was 11, the last term should be 118+11=129. Thus, 127 is the wrong number.
The differences between consecutive terms are 2, 3, 5, 7, and 9, which forms a series of consecutive prime numbers. To find the next difference in this pattern, we use the next prime number after 9, which is 11. Adding 11 to 118 gives 129, which means 127 is the wrong number in the series. The result is 127.