Analyzing the Number Sequence Pattern
The sequence provided is 4, 5, 12, 39, 163. We need to identify the rule or pattern connecting these numbers.
- Term 1: 4
- Term 2: 5. This can be obtained from Term 1 using the rule: $4 \times 1 + 1 = 5$.
- Term 3: 12. Applying the rule sequentially, using Term 2 and N=2: $5 \times 2 + 2 = 10 + 2 = 12$.
- Term 4: 39. Applying the rule using Term 3 and N=3: $12 \times 3 + 3 = 36 + 3 = 39$.
The pattern identified is: Next Term = Previous Term $\times$ N + N, where N increments by 1 for each step (N=1, N=2, N=3, ...).
Identifying the Incorrect Term
Now, let's use the pattern to calculate the expected 5th term based on the 4th term (39).
- Previous Term = 39
- The next value for N is 4.
- Expected 5th Term = $39 \times 4 + 4$
- Expected 5th Term = $156 + 4$
- Expected 5th Term = $160$
The sequence given lists 163 as the 5th term. However, following the established pattern, the 5th term should be 160. Therefore, 163 is the incorrect term in this number sequence.
Similar Questions
Which number breaks the pattern?
3, 6, 11, 20, 33, 70
- What should come in place of the question mark '?' in the following number series?
$45, 40, 50, ?, 55, 30$ - Complete the series.
$25, 36, 49, 64, 81, ?$ - What should come at the place of question mark? : $98, 90, 82, 74, ?, 58$
- What should come at the place of question mark? 1, 8, 27, 64, 125, ?, 343
- The series given below contains a sequence of numbers. Accordingly identify the incorrect combination.
5, 9, 27, 31, 94, 97, 292 - Complete the series: 0, 7, 26, 63, ?
- What should come in place of the question mark '?' in the following number series?
12, 6, 0, -6, ?, -18 Complete the series.
10, 20, 18, 36, 34,68 ________- What should come at the place of question mark?
3, 7, 14, 24, 37, ?
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
