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Find the missing term in the series given below.0, 7, 20, 39, ?, 95  Ops:   A. 59    B. 65    C. 69    D. 64

Question

Find the missing term in the series given below.

0, 7, 20, 39, ?, 95
Ops:
  A. 59
  B. 65
  C. 69
  D. 64

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Solution

The given series is: 0, 7, 20, 39, ?, 95

To find the missing term, let's first try to identify a pattern in the series.

The differences between consecutive terms are:

7 - 0 = 7 20 - 7 = 13 39 - 20 = 19

So, the differences are not constant, which means this is not an arithmetic progression.

However, if we look at the differences between these differences, we get:

13 - 7 = 6 19 - 13 = 6

So, the differences between the differences are constant, which means this is a second-order difference series.

This means that the next difference should also be 6, so the difference between the missing term and 39 should be 19 + 6 = 25.

Therefore, the missing term is 39 + 25 = 64.

So, the answer is D. 64.

This problem has been solved

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