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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Important Questions from Number Series
What will come in place of question mark (?) in the following number series?
2, 5, 11, 23, 44, 77, ?
What will come in place of question mark (?) in the following number series?
31, 32, 36, ?, 61, 86
What will come in the place of question mark (?) in the following number series?
3, 6, 18, ?, 630, 6930
What should come in place of the question mark ‘?’ in the following number series?
60, 40, 50, ?, 180, 460
A series is given with one term wrong. Select that wrong term from the given alternatives.
J12, M24, P48, S96, U192
