Complete the given number series by determining the missing term that logically fits the s… — State PSC Exam

Complete the given number series by determining the missing term that logically fits the sequence.

Answer:In the numerical series

6, 13, 27, 48, 76, 【111】

, the value of the missing term is 【111】.

The missing term in the series is 111.

The differences between successive terms form an increasing sequence of multiples of 7:

+7, +14, +21, +28, \dots

The next difference must be

+35

. Adding

35

76

yields

111

Calculate the first-order differences between consecutive terms in the series.

13 - 6 = 7

27 - 13 = 14

48 - 27 = 21

76 - 48 = 28

To identify the underlying pattern governing the progression of the sequence.

Analyze the sequence of differences.

The differences are

7, 14, 21, 28

, which form an arithmetic progression with a common difference of

7

(multiples of

7

To determine the next required addition to the sequence.

Determine the next difference and compute the missing term.

The next difference is

28 + 7 = 35

. Adding this to the last term gives

76 + 35 = 111

Applying the identified pattern yields the correct missing term.

Double Difference / Arithmetic Progression of Differences

Estimated Time:1m 0s

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