The next term in the number series 10, 13, 22, 49, ______.
130
To find the next term in the series 10, 13, 22, 49, we need to observe the pattern followed by the numbers:
- The first term is 10.
- The difference between the second term and the first term is \(13 - 10 = 3\).
- The difference between the third term and the second term is \(22 - 13 = 9\).
- The difference between the fourth term and the third term is \(49 - 22 = 27\).
We notice that the differences follow a specific pattern:
- Differences: 3, 9, 27.
These differences are increasing in multiples of 3: \(3 \times 1, 3 \times 3, 3 \times 9\).
- The next difference should be \(3 \times 27 = 81\) because we're continuing the multiplication by 3 pattern.
Thus, the next term in the series will be:
\(49 + 81 = 130\)
This matches the pattern and the given correct option, making 130 the correct answer. Other options are incorrect as they do not follow the established pattern revealed by difference multiplication.
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Important Questions from Number Series
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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?
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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
