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Find the missing term in the following number series.
2, 5.5, ?, 136.5, 1648
2, 5.5, ?, 136.5, 1648
- a)12.5
- b)21.5
- c)16.5
- d)14.5
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Find the missing term in the following number series.2, 5.5, ?, 136.5,...
Understanding the Series
To solve the series: 2, 5.5, ?, 136.5, 1648, we need to identify the pattern between the numbers.
Identifying the Pattern
1. Calculate the Ratios:
- Between 2 and 5.5:
- 5.5 = 2 * 2.75
- Next term (?): Let’s denote it as x.
- Between 5.5 and x:
- x = 5.5 * k (where k is a multiplier we need to find).
- Between x and 136.5:
- 136.5 = x * m (where m is another multiplier).
2. Calculate the Ratios for Known Terms:
- Between 136.5 and 1648:
- 1648 = 136.5 * 12.08 (approximately).
Finding the Missing Term
Now, let’s assume the pattern of multiplication increases:
- From 2 to 5.5, we use a multiplier of 2.75.
- Assume x has a consistent multiplier from 5.5.
If we assume a consistent multiplicative pattern:
- Trying k as 2.75, we find:
- x = 5.5 * 2.75 = 15.125 (not a choice).
Using a smaller increase:
- Trying k as 3:
- x = 5.5 * 3 = 16.5 (this is a choice).
Verifying the Pattern
3. Check the next ratios:
- Between 16.5 and 136.5:
- 136.5 = 16.5 * 8.27 (approximately).
- This shows an increasing multiplicative pattern.
4. Final Conclusion:
- The most reasonable value for x that fits the pattern is 16.5.
Thus, the missing term in the series is 16.5 (option B).
To solve the series: 2, 5.5, ?, 136.5, 1648, we need to identify the pattern between the numbers.
Identifying the Pattern
1. Calculate the Ratios:
- Between 2 and 5.5:
- 5.5 = 2 * 2.75
- Next term (?): Let’s denote it as x.
- Between 5.5 and x:
- x = 5.5 * k (where k is a multiplier we need to find).
- Between x and 136.5:
- 136.5 = x * m (where m is another multiplier).
2. Calculate the Ratios for Known Terms:
- Between 136.5 and 1648:
- 1648 = 136.5 * 12.08 (approximately).
Finding the Missing Term
Now, let’s assume the pattern of multiplication increases:
- From 2 to 5.5, we use a multiplier of 2.75.
- Assume x has a consistent multiplier from 5.5.
If we assume a consistent multiplicative pattern:
- Trying k as 2.75, we find:
- x = 5.5 * 2.75 = 15.125 (not a choice).
Using a smaller increase:
- Trying k as 3:
- x = 5.5 * 3 = 16.5 (this is a choice).
Verifying the Pattern
3. Check the next ratios:
- Between 16.5 and 136.5:
- 136.5 = 16.5 * 8.27 (approximately).
- This shows an increasing multiplicative pattern.
4. Final Conclusion:
- The most reasonable value for x that fits the pattern is 16.5.
Thus, the missing term in the series is 16.5 (option B).
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Find the missing term in the following number series.2, 5.5, ?, 136.5, 1648a)12.5b)21.5c)16.5d)14.5Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Find the missing term in the following number series.2, 5.5, ?, 136.5, 1648a)12.5b)21.5c)16.5d)14.5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the missing term in the following number series.2, 5.5, ?, 136.5, 1648a)12.5b)21.5c)16.5d)14.5Correct answer is option 'B'. Can you explain this answer?.
Find the missing term in the following number series.2, 5.5, ?, 136.5, 1648a)12.5b)21.5c)16.5d)14.5Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Find the missing term in the following number series.2, 5.5, ?, 136.5, 1648a)12.5b)21.5c)16.5d)14.5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the missing term in the following number series.2, 5.5, ?, 136.5, 1648a)12.5b)21.5c)16.5d)14.5Correct answer is option 'B'. Can you explain this answer?.
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