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
- What should come at the place of question mark? 1, 8, 27, 64, 125, ?, 343
- In the following number series, a wrong number is given. Find out the WRONG number.
1, 4, 16, 64, 324 - What comes next: 0, 1, 1, 2, 3, 5, 8, 13, ?, ?
- What should come at the place of question mark?
100, 81, 64, 49, ?, 25 - Find the WRONG number in the given series.
5040, 720, 120, 24, 4, 2 - What comes next: 10, 17, 26, 37, 50, ?
- Complete the series: 0, 7, 26, 63, ?
- What should come at the place of question mark?
144, 121, 100, 81, ?, 49 - 3, 6, 18, 72, 360, ?
- The series given below contains a sequence of numbers. Accordingly identify the incorrect combination.
5, 9, 27, 31, 94, 97, 292
Important Questions from Number Series
Select the number from among the given options that can replace the question mark (?) in the following series.
37, 52, 74, 104, 143, ?
Select the number that can replace the question mark (?) in the following series.
17, 19, 22, 27, 34, 45, 58,?Select the number from among the given options that can replace the question mark (?) in the following series.
10, 14, 31, 35, 73, 77, ?
Select the number from among the given options that can replace the question mark (?) in the following series.
215, 231, 256, 292, ?
Select the number from among the given options that can replace the question mark (?) in the following series.
6, 6, 8, 24, 28, 140, ?
