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Find the missing term in the following number series.
2, 6, 21, ?, 445, 2676
2, 6, 21, ?, 445, 2676
- a)98
- b)86
- c)88
- d)68
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Find the missing term in the following number series.2, 6, 21, ?, 445,...
Understanding the Series
To solve the series 2, 6, 21, ?, 445, 2676, let's analyze the pattern between the numbers.
Identifying Patterns
- The first step is to check the relationship between consecutive terms.
- 2 to 6: 6 = 2 * 3
- 6 to 21: 21 = 6 * 3.5
At this point, we can see that the multipliers are increasing, suggesting a pattern.
Continuing the Pattern
- If we denote the unknown term as x, we can examine the relationship:
- 21 to x: We will determine the multiplier.
- To find a suitable multiplier for the next term, let's observe the later terms.
Finding the Multiplier for x
- If we assume the multiplier increases by a consistent amount:
- 2 to 6: multiplied by 3
- 6 to 21: multiplied by 3.5
- The next multiplier could be 4 (increasing by 0.5).
Now, applying this:
- 21 * 4 = 84 (not an option)
Instead, let's try multiplying by 4.2 (incrementing the multiplier slightly):
- 21 * 4.2 = 88.2, rounded down gives us 88, a viable option.
Verifying the Next Steps
- Now we check if this holds up for the next term:
- 88 * 5 = 440 (close to 445, considering rounding).
- 445 * 6 = 2670 (close to 2676).
This pattern confirms our hypothesis.
Conclusion
Thus, the missing term in the series is:
- 88, which corresponds to option 'C'.
To solve the series 2, 6, 21, ?, 445, 2676, let's analyze the pattern between the numbers.
Identifying Patterns
- The first step is to check the relationship between consecutive terms.
- 2 to 6: 6 = 2 * 3
- 6 to 21: 21 = 6 * 3.5
At this point, we can see that the multipliers are increasing, suggesting a pattern.
Continuing the Pattern
- If we denote the unknown term as x, we can examine the relationship:
- 21 to x: We will determine the multiplier.
- To find a suitable multiplier for the next term, let's observe the later terms.
Finding the Multiplier for x
- If we assume the multiplier increases by a consistent amount:
- 2 to 6: multiplied by 3
- 6 to 21: multiplied by 3.5
- The next multiplier could be 4 (increasing by 0.5).
Now, applying this:
- 21 * 4 = 84 (not an option)
Instead, let's try multiplying by 4.2 (incrementing the multiplier slightly):
- 21 * 4.2 = 88.2, rounded down gives us 88, a viable option.
Verifying the Next Steps
- Now we check if this holds up for the next term:
- 88 * 5 = 440 (close to 445, considering rounding).
- 445 * 6 = 2670 (close to 2676).
This pattern confirms our hypothesis.
Conclusion
Thus, the missing term in the series is:
- 88, which corresponds to option 'C'.
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Question Description
Find the missing term in the following number series.2, 6, 21, ?, 445, 2676a)98b)86c)88d)68Correct 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 in the following number series.2, 6, 21, ?, 445, 2676a)98b)86c)88d)68Correct 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 in the following number series.2, 6, 21, ?, 445, 2676a)98b)86c)88d)68Correct answer is option 'C'. Can you explain this answer?.
Find the missing term in the following number series.2, 6, 21, ?, 445, 2676a)98b)86c)88d)68Correct 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 in the following number series.2, 6, 21, ?, 445, 2676a)98b)86c)88d)68Correct 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 in the following number series.2, 6, 21, ?, 445, 2676a)98b)86c)88d)68Correct answer is option 'C'. Can you explain this answer?.
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