In the following number series, a wrong number is given. Find out the wrong number.25, 26, 33, 57, 105, 185, 305
Question
In the following number series, a wrong number is given. Find out the wrong number.25, 26, 33, 57, 105, 185, 305
Solution
The given series is 25, 26, 33, 57, 105, 185, 305.
The pattern in the series seems to be that each number is obtained by adding a certain number to the previous number. Let's try to find out this number.
26 - 25 = 1 33 - 26 = 7 57 - 33 = 24 105 - 57 = 48 185 - 105 = 80 305 - 185 = 120
The differences between the numbers are not consistent, but they seem to be increasing. Let's look at the differences between these differences.
7 - 1 = 6 24 - 7 = 17 48 - 24 = 24 80 - 48 = 32 120 - 80 = 40
The differences between the differences are also not consistent, but they seem to be increasing by 8 each time. If we follow this pattern, the difference between 24 and 7 should have been 15, not 17.
So, the number 33 in the series, which was obtained by adding 7 to 26, is wrong. If we add 15 to 26, we get 41, not 33.
Therefore, the wrong number in the series is 33.
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