The next term in the series is . 56, 40, 27, 17, 10,
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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