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Select the correct answerFind the missing term in the given series.0, 4, 18, 48, ___radio_button_unchecked85radio_button_unchecked96radio_button_unchecked98radio_button_unchecked100

Question

Select the correct answerFind the missing term in the given series.0, 4, 18, 48, ___radio_button_unchecked85radio_button_unchecked96radio_button_unchecked98radio_button_unchecked100

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Solution

To find the missing term in the series, we need to identify the pattern or rule that the series follows.

The series is: 0, 4, 18, 48, ___

If we look at the differences between each pair of consecutive terms, we get:

4 - 0 = 4 18 - 4 = 14 48 - 18 = 30

The differences are not constant, so this is not an arithmetic sequence. However, the differences themselves (4, 14, 30) seem to be increasing by a pattern. If we look at the differences between these differences, we get:

14 - 4 = 10 30 - 14 = 16

Now we see a pattern: the differences between the differences are increasing by 6 each time. If we continue this pattern, the next difference should be 16 + 6 = 22.

So, the difference between the next term and 48 should be 30 + 22 = 52.

Therefore, the missing term in the series is 48 + 52 = 100.

So, the correct answer is 100.

This problem has been solved

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