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Directions to Solve
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question -
0, 2, 3, 5, 8, 10, 15, 17, 24, 26, ?
  • a)
    28
  • b)
    30
  • c)
    32
  • d)
    35
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Directions to Solve ...
The given sequence is a combination of two series :
I. 0, 3, 8, 15, 24, ? and II. 2, 5, 10, 17, 26
The pattern in each one of I and II is + 3, + 5, + 7, + 9, .....
So, missing term = 24 + 11 = 35.
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Directions to Solve ...
Understanding the Series
To find the missing number in the series: 0, 2, 3, 5, 8, 10, 15, 17, 24, 26, ?, we first need to identify the pattern.
Identifying the Pattern
- The series can be divided into two alternating sequences:
- Even Indexed Numbers: 0, 3, 8, 15, 24
- Odd Indexed Numbers: 2, 5, 10, 17, 26
Analyzing the Even Indexed Sequence
- The difference between consecutive numbers in the even indexed sequence:
- 3 - 0 = 3
- 8 - 3 = 5
- 15 - 8 = 7
- 24 - 15 = 9
- The differences are: 3, 5, 7, 9 (which increases by 2 each time).
- To find the next number:
- Next difference = 11
- 24 + 11 = 35
Analyzing the Odd Indexed Sequence
- The odd indexed sequence has differences:
- 5 - 2 = 3
- 10 - 5 = 5
- 17 - 10 = 7
- 26 - 17 = 9
- The differences are also: 3, 5, 7, 9, which increases by 2 each time.
- The next odd indexed number would be:
- Next difference = 11
- 26 + 11 = 37 (not needed here since we focus on the even indexed number).
Conclusion
The next number in the series is from the even indexed sequence, which is 35. Thus, the correct answer is option 'D'.
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Directions to Solve Choose the correct alternative that will continue the same pattern and replace the question mark in the given series. Question - 0, 2, 3, 5, 8, 10, 15, 17, 24, 26, ?a)28b)30c)32d)35Correct answer is option 'D'. Can you explain this answer?
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