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Find the missing term and complete the sequence.
4, 7, ?, 19, 28, 39
4, 7, ?, 19, 28, 39
- a)14
- b)13
- c)12
- d)11
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Find the missing term and complete the sequence.4, 7, ?, 19, 28, 39a)1...
Understanding the Sequence
To solve the sequence 4, 7, ?, 19, 28, 39, we need to identify the pattern in the numbers.
Identifying Differences
1. Calculate the differences between consecutive terms:
- 7 - 4 = 3
- ? - 7 = ?
- 19 - ? = ?
- 28 - 19 = 9
- 39 - 28 = 11
2. List the known differences:
- First difference: 3
- Second difference (unknown): ?
- Third difference (unknown): ?
- Fourth difference: 9
- Fifth difference: 11
Finding the Pattern
3. Observe the known differences:
- The differences between the last two terms (9 and 11) suggest an increasing pattern.
- The differences appear to increase by 2.
4. Extrapolating the pattern backward:
- If we continue the pattern backward:
- Before 9, we can deduce a difference of 7 (9 - 2).
- Before 7, we can deduce a difference of 5 (7 - 2).
5. Calculating the missing term:
- Starting from 7, if we add 5, we get:
- 7 + 5 = 12
Verifying the Sequence
6. Check the full sequence with the missing term:
- 4, 7, 12, 19, 28, 39
- Differences: 3, 5, 7, 9, 11 (which confirms the increasing pattern)
Conclusion
The missing term in the sequence is 12, making option 'C' the correct answer. This is validated by the consistent pattern observed in the differences.
To solve the sequence 4, 7, ?, 19, 28, 39, we need to identify the pattern in the numbers.
Identifying Differences
1. Calculate the differences between consecutive terms:
- 7 - 4 = 3
- ? - 7 = ?
- 19 - ? = ?
- 28 - 19 = 9
- 39 - 28 = 11
2. List the known differences:
- First difference: 3
- Second difference (unknown): ?
- Third difference (unknown): ?
- Fourth difference: 9
- Fifth difference: 11
Finding the Pattern
3. Observe the known differences:
- The differences between the last two terms (9 and 11) suggest an increasing pattern.
- The differences appear to increase by 2.
4. Extrapolating the pattern backward:
- If we continue the pattern backward:
- Before 9, we can deduce a difference of 7 (9 - 2).
- Before 7, we can deduce a difference of 5 (7 - 2).
5. Calculating the missing term:
- Starting from 7, if we add 5, we get:
- 7 + 5 = 12
Verifying the Sequence
6. Check the full sequence with the missing term:
- 4, 7, 12, 19, 28, 39
- Differences: 3, 5, 7, 9, 11 (which confirms the increasing pattern)
Conclusion
The missing term in the sequence is 12, making option 'C' the correct answer. This is validated by the consistent pattern observed in the differences.
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Question Description
Find the missing term and complete the sequence.4, 7, ?, 19, 28, 39a)14b)13c)12d)11Correct answer is option 'C'. 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 and complete the sequence.4, 7, ?, 19, 28, 39a)14b)13c)12d)11Correct answer is option 'C'. 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 and complete the sequence.4, 7, ?, 19, 28, 39a)14b)13c)12d)11Correct answer is option 'C'. Can you explain this answer?.
Find the missing term and complete the sequence.4, 7, ?, 19, 28, 39a)14b)13c)12d)11Correct answer is option 'C'. 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 and complete the sequence.4, 7, ?, 19, 28, 39a)14b)13c)12d)11Correct answer is option 'C'. 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 and complete the sequence.4, 7, ?, 19, 28, 39a)14b)13c)12d)11Correct answer is option 'C'. Can you explain this answer?.
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