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What will come at the place of question mark ?
113, 225, 449, ? , 1793
  • a)
    897
  • b)
    789
  • c)
    987
  • d)
    978
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
What will come at the place of question mark ?113, 225, 449, ? , 1793a...
Given series: 113, 225, 449, ? , 1793
113 x 2 = 226 -1 = 225
225 x 2 = 450 -1 = 449
449 x 2 = 898 - 1 = 897
897 x 2 = 1794 -1 = 1793
So, the correct answer is 897.
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Community Answer
What will come at the place of question mark ?113, 225, 449, ? , 1793a...
Understanding the Sequence
To find the missing number in the sequence: 113, 225, 449, ?, 1793, we need to analyze the relationship between the numbers.
Analyzing Differences
- First, we calculate the differences between consecutive terms:
- 225 - 113 = 112
- 449 - 225 = 224
- ? - 449 = ?
- 1793 - ? = ?
Identifying a Pattern
- The differences we calculated are:
- 112 (which is 2^7)
- 224 (which is 2^8)
It appears that the differences are increasing in a pattern of powers of 2.
Continuing the Pattern
- Following this pattern, the next difference should be 448 (which is 2^9).
Calculating the Missing Number
- If we add 448 to the last known number (449):
- 449 + 448 = 897
Final Verification
- To confirm:
- 1793 - 897 = 896 (which is 2^10).
This confirms our pattern of differences is consistent.
Conclusion
- Therefore, the missing number in the sequence is 897.
The correct answer is option 'A'.
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