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Question

The next term in the series is .

56, 40, 27, 17, 10,

This question was previously asked in
UGC NET 2018 Paper 1 Question Paper (8-Jul-2018)
The correct answer is

6

To determine the next term in the series, we first observe the pattern in the given sequence: 56, 40, 27, 17, 10.

Let's calculate the differences between consecutive terms:

  • Difference between 56 and 40 is: \(56 - 40 = 16\)
  • Difference between 40 and 27 is: \(40 - 27 = 13\)
  • Difference between 27 and 17 is: \(27 - 17 = 10\)
  • Difference between 17 and 10 is: \(17 - 10 = 7\)

We notice that the differences are: 16, 13, 10, 7. This sequence of differences decreases by 3 each time.

Following this pattern, the next difference after 7 should be:

  • Next difference: \(7 - 3 = 4\)

Therefore, the next term in the series can be found by subtracting 4 from the last term (10) in the sequence:

  • Next term: \(10 - 4 = 6\)

Thus, the next term in the series is 6.

This matches with the correct answer option: 6.

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