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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

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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.

This problem has been solved

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