In this sequence, what number would logically come next? 2, 4, 8, 4, 6, 5, 9, 4, __
Finding the Next Number in the Sequence
The question asks us to find the number that logically continues the given sequence: 2, 4, 8, 4, 6, 5, 9, 4, __
To solve sequence puzzles, we need to look for a pattern or rule that connects the numbers. Let's examine the sequence closely.
The sequence is: 2, 4, 8, 4, 6, 5, 9, 4, ?
We can observe that the number '4' appears multiple times in the sequence. This might indicate that '4' acts as a special marker or delimiter within the sequence, or that its position follows a specific pattern.
Let's list the sequence and the position of each number:
| Position | Number |
|---|---|
| 1 | 2 |
| 2 | 4 |
| 3 | 8 |
| 4 | 4 |
| 5 | 6 |
| 6 | 5 |
| 7 | 9 |
| 8 | 4 |
| 9 | ? |
The number '4' appears at positions 2, 4, and 8. These positions are powers of 2 ($2^1=2$, $2^2=4$, $2^3=8$). This is one possible pattern related to the number 4's position, but it doesn't directly tell us the number at position 9.
Let's consider another approach: what happens to the numbers immediately after the number '4' appears in the sequence?
The number '4' is at positions 2, 4, and 8.
- After the first '4' (at position 2), the next number is 8 (at position 3).
- After the second '4' (at position 4), the next number is 6 (at position 5).
- After the third '4' (at position 8), the next number is the one we are looking for (at position 9).
Let's look at the sub-sequence of numbers that immediately follow a '4': 8, 6, __.
Is there a pattern in this sub-sequence? Let's find the difference between consecutive terms:
- $8 - 6 = 2$
It appears that each term in this sub-sequence is obtained by subtracting 2 from the previous term. If this pattern continues, the next number in this sub-sequence should be $6 - 2$.
Calculation:
$$6 - 2 = 4$$Therefore, the number that follows the last '4' in the main sequence (which is at position 8) is 4. This number goes into position 9.
The completed sequence would be: 2, 4, 8, 4, 6, 5, 9, 4, 4.
This pattern of the number immediately following a '4' decreasing by 2 (8, 6, 4, ...) seems to be the logical rule governing the sequence.
Revision Table: Analyzing the Pattern
| Number in Sequence | Position | Observation / Pattern |
|---|---|---|
| 2 | 1 | Starts the sequence |
| 4 | 2 ($2^1$) | First occurrence of 4 |
| 8 | 3 | Follows the first 4 (8) |
| 4 | 4 ($2^2$) | Second occurrence of 4 |
| 6 | 5 | Follows the second 4 (6) |
| 5 | 6 | Part of the group after the second 4 |
| 9 | 7 | Part of the group after the second 4 |
| 4 | 8 ($2^3$) | Third occurrence of 4 |
| ? | 9 | Should follow the third 4. Pattern of numbers following 4 is 8, 6, ... Next should be $6-2=4$. |
Additional Information: Understanding Sequence Puzzles
Sequence puzzles test your ability to identify logical or mathematical patterns. These patterns can be simple or complex and might involve:
- Arithmetic Progression (adding or subtracting a constant)
- Geometric Progression (multiplying or dividing by a constant)
- Combinations of operations
- Alternating patterns
- Patterns based on the position of the number
- Patterns based on the numbers themselves (e.g., prime numbers, squares, cubes)
- Groups or blocks of numbers
- Using a specific number as a delimiter or marker (as seen in this puzzle)
Solving sequence puzzles often requires careful observation, testing different hypotheses about the pattern, and sometimes looking at sub-sequences formed by elements at specific positions or after certain numbers.
Important Questions from Miscellaneous (APSC)
- In early 2025, a rare marbled cat was spotted in which National Park of Assam?
- In early 2025, concerns arose regarding declining pungency of the Bhut Jolokia chili in Assam. What was identified as the primary cause of it?
The Soliga tribe inhabits the Biligiri Rangaswamy Temple (BRT) Tiger Reserve in Karnataka. Their relationship with the tiger population is very important to conservation efforts. Consider the following statements in connection with Soliga tribe :
(i) The name 'Soliga' means 'children of bamboo'.
(ii) The Soligas worship tigers as sacred beings. They refer to the tiger as Dodda Nayi and maintain a temple dedicated to it.
(iii) The Soligas were the first tribal community to have their forest rights recognized within a tiger reserve.
(iv) The Soliga tribe is confined to the State of Karnataka alone.
Which of the above statements is/ are not correct?
India plans to issue Sovereign Green Bonds to raise money for green infrastructure projects. Consider the following statements about India's Sovereign Green Bonds :
Statement 1: The funds raised will be used to finance public projects that lower the economy's carbon intensity.
Statement 2: India issued its first Sovereign Green Bond in 2023.
Statement 3: Green Bonds are part of India's strategy to achieve net zero emission by 2070.
Statement 4: Only private investors can subscribe to Green Bonds.
Which of the above statements are correct?
The National One Health Mission is a recently launched initiative in India aimed at strengthening the country's response to diseases and promoting a holistic approach to public health. Consider the following statements about India's One Health Mission :
Statement 1: The One Health Mission integrates human, animal and environmental health under a single framework.
Statement 2: The initiative is funded entirely by the Government of India without any international collaboration.
Statement 3: The Mission aims to track zoonotic diseases like Nipah and avian influenza.
Statement 4: India is the first country in Asia to adopt a One Health approach.
Which of the above statements are correct?
