The next term in the number series 41, 27, 16, 8, ______ is:
3
To solve the problem of finding the next term in the series \( 41, 27, 16, 8, \ldots \), let's examine the pattern in the series:
- First, calculate the difference between consecutive terms:
The difference between \( 41 \) and \( 27 \) is given by:
\(41 - 27 = 14\)
- The difference between \( 27 \) and \( 16 \) is calculated as:
\(27 - 16 = 11\)
- The difference between \( 16 \) and \( 8 \) is:
\(16 - 8 = 8\)
- Observing the pattern in the differences: \( 14, 11, 8, \ldots \)
We can see that the differences are decreasing by \( 3 \) each time. Thus, the next difference should be:
\(8 - 3 = 5\)
- Subtract this difference from the last term in the series \( 8 \) to find the next term:
\(8 - 5 = 3\)
Thus, the next term in the series is 3, which matches the correct option provided.
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