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Find the missing term   1, 10, 101, 1010, _____, 101010. 
  • a)
    101
  • b)
    1001
  • c)
    10001
  • d)
    10101 
Correct answer is option 'D'. Can you explain this answer?
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Find the missing term 1, 10, 101, 1010, _____, 101010.a)101b)1001c)10...
Understanding the Sequence
The sequence provided is: 1, 10, 101, 1010, _____, 101010.
Each term in the sequence represents a binary number. Let's analyze the terms:
- 1 (binary) = 1 (decimal)
- 10 (binary) = 2 (decimal)
- 101 (binary) = 5 (decimal)
- 1010 (binary) = 10 (decimal)
Identifying the Pattern
When we look closely, we see that the binary representations are increasing by adding an additional '0' or '1' at the end of the previous term:
- 1 (binary)
- 10 (binary) = 1 followed by 0
- 101 (binary) = 10 followed by 1
- 1010 (binary) = 101 followed by 0
The pattern alternates between ending the term with '0' and '1'.
Finding the Missing Term
Following the established pattern, after 1010 (which ends with '0'), the next term should end with '1'. Continuing this pattern:
- The term after 1010 would be 10101 (binary), which is 21 in decimal.
Final Series Confirmation
To confirm, the next term would be:
- 10101 (binary) = 21 (decimal)
- The subsequent term is 101010 (binary) = 42 (decimal)
Both follow the increasing order.
Conclusion
Thus, the missing term in the sequence is:
10101
This corresponds to option 'D'.
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Community Answer
Find the missing term 1, 10, 101, 1010, _____, 101010.a)101b)1001c)10...
The missing term is 10101.
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