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27, 56, 114, 230, 462, 926, ? 
  • a)
    1852  
  • b)
    1854  
  • c)
    1848
  • d)
    1856
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
27, 56, 114, 230, 462, 926, ?a)1852 b)1854 c)1848d)1856Correct answer ...
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27, 56, 114, 230, 462, 926, ?a)1852 b)1854 c)1848d)1856Correct answer ...
Understanding the Sequence
The sequence given is: 27, 56, 114, 230, 462, 926. To find the next number, we first need to identify a pattern in the differences between consecutive terms.
Identifying Differences
- 56 - 27 = 29
- 114 - 56 = 58
- 230 - 114 = 116
- 462 - 230 = 232
- 926 - 462 = 464
The differences between the terms are: 29, 58, 116, 232, 464.
Observing the Pattern in Differences
Now, let's analyze the differences:
- 29 (which is 29)
- 58 (which is 2 * 29)
- 116 (which is 4 * 29)
- 232 (which is 8 * 29)
- 464 (which is 16 * 29)
We can see that each difference is double the previous difference.
Calculating the Next Difference
Following this pattern, the next difference should be:
- 464 * 2 = 928
Finding the Next Term
To find the next term in the sequence, add the last term (926) to the next difference (928):
- 926 + 928 = 1854
Conclusion
Therefore, the next number in the sequence is 1854, making option 'B' the correct answer.
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