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21, 9, 21, 11, 21, 13, 21, .......
- a)14
- b)15
- c)21
- d)23
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
21, 9, 21, 11, 21, 13, 21, .......a)14 b)15 c)21 ...
In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9.
Most Upvoted Answer
21, 9, 21, 11, 21, 13, 21, .......a)14 b)15 c)21 ...
Understanding the Sequence
The sequence provided is: 21, 9, 21, 11, 21, 13, 21, ...
Identifying the Pattern
- The first and every alternate number in the sequence is 21.
- The numbers in between follow a separate pattern: 9, 11, 13...
Analyzing the Middle Numbers
- The sequence of the middle numbers starts at 9 and increases by 2 each time:
- 9 (first middle number)
- 11 (second middle number, 9 + 2)
- 13 (third middle number, 11 + 2)
Predicting the Next Middle Number
- Continuing this pattern, the next middle number after 13 would be:
- 13 + 2 = 15
Final Sequence Construction
- Based on the established pattern:
- The next number in the sequence after 21 and 13 will be 21 (first number).
- The next middle number will be 15.
Therefore, the complete sequence would continue as 21, 9, 21, 11, 21, 13, 21, 15, ...
Conclusion
Thus, the correct answer is option B: 15. This is derived from the clear pattern observed in the sequence of middle numbers.
The sequence provided is: 21, 9, 21, 11, 21, 13, 21, ...
Identifying the Pattern
- The first and every alternate number in the sequence is 21.
- The numbers in between follow a separate pattern: 9, 11, 13...
Analyzing the Middle Numbers
- The sequence of the middle numbers starts at 9 and increases by 2 each time:
- 9 (first middle number)
- 11 (second middle number, 9 + 2)
- 13 (third middle number, 11 + 2)
Predicting the Next Middle Number
- Continuing this pattern, the next middle number after 13 would be:
- 13 + 2 = 15
Final Sequence Construction
- Based on the established pattern:
- The next number in the sequence after 21 and 13 will be 21 (first number).
- The next middle number will be 15.
Therefore, the complete sequence would continue as 21, 9, 21, 11, 21, 13, 21, 15, ...
Conclusion
Thus, the correct answer is option B: 15. This is derived from the clear pattern observed in the sequence of middle numbers.
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Community Answer
21, 9, 21, 11, 21, 13, 21, .......a)14 b)15 c)21 ...
If 2 is added to 9 we get 11...
if 2is added to 11 we get 13..
if 2 is added to 13,,,we get 15
if 2is added to 11 we get 13..
if 2 is added to 13,,,we get 15
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