Which number logically follows this series :- 4 – 6 – 9 – 6 – 14 – 6 …..
The Correct Answer and Explanation is:
Let’s analyze the given number series:
4 – 6 – 9 – 6 – 14 – 6 – ?
Step-by-step Analysis:
We observe a pattern alternation here:
Positions:
- 1st: 4
- 2nd: 6
- 3rd: 9
- 4th: 6
- 5th: 14
- 6th: 6
- 7th: ?
We notice that every even position (2nd, 4th, 6th) is 6.
So:
- 2nd = 6
- 4th = 6
- 6th = 6
➡ Pattern: All even positions = 6
That seems consistent. So we now focus on the odd-numbered positions:
Odd positions:
- 1st = 4
- 3rd = 9
- 5th = 14
- 7th = ?
Now, look at how the odd-positioned numbers are progressing:
- From 4 to 9 → +5
- From 9 to 14 → +5
➡ Pattern: Increasing by 5
So the next number at the 7th position will be:
14 + 5 = 19
Final Answer:
19
Explanation:
To determine the next number in the series: 4 – 6 – 9 – 6 – 14 – 6 – ?, we begin by analyzing the pattern. The first step is to separate the numbers by their positions: odd-numbered positions (1st, 3rd, 5th…) and even-numbered positions (2nd, 4th, 6th…).
When we look at the even-numbered terms, we find they are all the same: 6. That is, the 2nd, 4th, and 6th numbers are each 6. This suggests a repeating constant at every even position. So we can confidently predict that the 8th term, if extended, would also be 6.
Next, we examine the odd-numbered positions: 1st (4), 3rd (9), and 5th (14). Observing the difference between these values: 9 – 4 = 5, and 14 – 9 = 5, we see a consistent pattern of increasing by 5. This tells us that the next odd-positioned number, the 7th term, should follow the same rule.
Adding 5 to the previous odd-positioned number, 14, gives us 19.
Hence, the full sequence would be:
4 – 6 – 9 – 6 – 14 – 6 – 19
This sequence cleverly alternates between a fixed number (6) and an increasing number (adding 5) for odd positions. Recognizing the alternating nature and the two separate patterns is the key to solving this logic puzzle correctly.
Correct answer: 19.
