Series Analysis: Identifying Patterns
The given number series is: 4, 9, 12, 12, 36, 16, 108, 18, 323, 21.
To find the incorrect combination, we first analyze the series by splitting it into two interleaved sequences:
- Sequence A (Odd Positions): 4, 12, 36, 108, 323
- Sequence B (Even Positions): 9, 12, 16, 18, 21
Sequence A Pattern Verification
Sequence A follows a pattern of multiplying the previous term by 3:
- $4 \times 3 = 12$
- $12 \times 3 = 36$
- $36 \times 3 = 108$
- $108 \times 3 = 324$
The last term in Sequence A is 323, which deviates from the pattern (expected 324). Therefore, 323 is the incorrect number in the series.
Sequence B Pattern Analysis
Sequence B follows an additive pattern, but it is irregular:
- $9 + 3 = 12$
- $12 + 4 = 16$
- $16 + 2 = 18$
- $18 + 3 = 21$
While Sequence B has an irregular pattern, the primary error is identified in Sequence A.
Incorrect Combination Identification
The question asks to identify the incorrect combination. The correct answer identifies the combination (16, 323) as incorrect.
- The number 16 is the 3rd term in Sequence B.
- The number 323 is the 5th term in Sequence A, which we have identified as incorrect.
Since the combination (16, 323) includes the number 323 that breaks the established multiplicative pattern of Sequence A, this combination is considered incorrect.
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 ________- If
2 = 12
3 = 36
4 = 80
5 = 150
6 = 252
7 = 392
Then 8 = ?
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
