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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 -
1, 2, 6, 7, 21, 22, 66, 67, ?
  • a)
    70
  • b)
    134
  • c)
    201
  • d)
    301
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Directions to Solve ...
The pattern is + 1, x 3, + 1, x 3, + 1, x 3, + 1,.....
So, missing term = 67 x 3 = 201.
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Most Upvoted Answer
Directions to Solve ...
Pattern Analysis
The given series consists of alternating numbers, where each number is either odd or even. Let's analyze the pattern of the series:

1, 2, 6, 7, 21, 22, 66, 67, ?

The pattern can be observed as follows:

- The series starts with an odd number 1.
- The next number is obtained by adding 1 to the previous number (1 + 1 = 2). This makes the number even.
- The next number is obtained by multiplying the previous number by 3 (2 * 3 = 6). This makes the number odd.
- The next number is obtained by adding 1 to the previous number (6 + 1 = 7). This makes the number odd.
- The next number is obtained by multiplying the previous number by 3 (7 * 3 = 21). This makes the number odd.
- The pattern continues in this alternating fashion.

Based on this pattern, we can determine the missing number in the series.

Solution
The last given number in the series is 67, which is an odd number. To continue the pattern, we need to find the next even number.

- Multiply the last given number by 3: 67 * 3 = 201.
- Add 1 to the result: 201 + 1 = 202.

Therefore, the missing number in the series is 202, which is an even number.

Conclusion
The correct alternative that will continue the same pattern and replace the question mark in the given series is option C) 201.
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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 - 1, 2, 6, 7, 21, 22, 66, 67, ?a)70b)134c)201d)301Correct answer is option 'C'. Can you explain this answer?
Question Description
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