Question

what would come next 25, 29, 56, 72, ? , 233 in number series?
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Answer 1

Answer:

119  would come next 25, 29, 56, 72, ? , 233 in number series

25, 29, 56, 72, 119, 233

Step-by-step explanation:

As per The given number series is: 25, 29, 56, 72, ?, 233

To find the missing number in the series, we need to identify the pattern or the rule followed by the series.

If we carefully observe the series, we can see that the difference between the consecutive terms is not constant.

The difference between the first and second terms is 4, while the difference between the second and third terms is 27. The difference between the third and fourth terms is 16.

Therefore, we cannot use a simple arithmetic or geometric progression to find the next number in the series.

However, if we take the squares of the terms, we get a series that has a clear pattern. The squares of the terms in the series are: 625, 841, 3136, 5184, ?, 54289.

The difference between the consecutive squares is increasing by an odd number as we move forward in the series.

Therefore, the missing term in the original series can be found by taking the square root of the next number in the squared series, which is 54289.

The square root of 54289 is approximately 233.

Hence, the missing number in the series is 119.

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