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Find the missing number in the series?15, 14, 26, 75..........?153187194296

Question

Find the missing number in the series?15, 14, 26, 75..........?153187194296

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Solution

The given series is 15, 14, 26, 75, .....

Let's try to find the pattern in the series.

The difference between the second and first number is -1 (14 - 15 = -1). The difference between the third and second number is 12 (26 - 14 = 12). The difference between the fourth and third number is 49 (75 - 26 = 49).

It seems like the differences are not consistent. Let's try another approach.

If we look closely, we can see that the second number is one less than the first number, the third number is two times the second number minus 2, and the fourth number is three times the third number minus 3.

So, if we follow this pattern, the next number should be four times the fourth number minus 4.

Let's calculate it:

4 * 75 - 4 = 296

So, the missing number in the series is 296.

This problem has been solved

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