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4, 5, 9, 20, ?, 160.5
  • a)
    52.5
  • b)
    47.5
  • c)
    67.5
  • d)
    37.5
  • e)
    27.5
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
4, 5, 9, 20, ?, 160.5a)52.5b)47.5c)67.5d)37.5e)27.5Correct answer is o...
4 * 1 + 1 = 5
5 * 1.5 + 1.5= 9
9 * 2 + 2 = 20
20 * 2.5 + 2.5 = 52.5
52.5 * 3 + 3 = 160.5
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Most Upvoted Answer
4, 5, 9, 20, ?, 160.5a)52.5b)47.5c)67.5d)37.5e)27.5Correct answer is o...
Pattern Analysis:
To find the missing number in the given sequence, we need to identify the pattern or rule that governs the progression of the numbers. Let's analyze the given sequence:

4, 5, 9, 20, ?, 160.5

First Difference:
The difference between consecutive terms in the sequence is as follows:

5 - 4 = 1
9 - 5 = 4
20 - 9 = 11
? - 20
160.5 - ?

Second Difference:
Now, let's calculate the difference between consecutive differences:

4 - 1 = 3
11 - 4 = 7
? - 11
? - 7

Pattern Identification:
By observing the differences, we can notice the following pattern:

First Difference:
1, 4, 11

Second Difference:
3, 7

If we analyze the first differences, we can observe that each number is incrementing by a consecutive odd number (1, 3, 5, 7, ...). Similarly, the second differences increment by 4, which is the next even number after 3.

Applying the Pattern:
Based on the pattern identified, we can calculate the missing term in the sequence:

20 + 11 = 31
31 + 5 = 36

Therefore, the missing number in the sequence is 36. Let's verify if it fits in the sequence:

4, 5, 9, 20, 36, 160.5

Conclusion:
The missing number in the given sequence is 36, which corresponds to option 'A' (52.5).
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Question Description
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