What will come in place of the question mark (?) in the following numb...
24 × 0.5 + 1 = 13
13 × 1.5 + 2 = 21.5
21.5 × 2.5 + 3 = 56.75
56.75 × 3.5 + 4 = 202.625
202.625 × 4.5 + 5 = 916.8125
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What will come in place of the question mark (?) in the following numb...
Number Series:
The given number series is 24, 13, 21.5, ?, 202.625, 916.8125.
To find the missing number, let's analyze the pattern in the series.
Pattern Analysis:
- The first number, 24, is obtained by multiplying 13 by 2 and adding 1 (13 * 2 + 1 = 27).
- The second number, 13, is obtained by dividing 27 by 2 (27 / 2 = 13.5) and subtracting 0.5 (13.5 - 0.5 = 13).
- The third number, 21.5, is obtained by multiplying 13 by 2 and subtracting 1 (13 * 2 - 1 = 25).
- The fourth number, which is missing, seems to be obtained by dividing 25 by 2 (25 / 2 = 12.5) and subtracting 0.5 (12.5 - 0.5 = 12).
Calculation:
Therefore, the missing number in the series is 12.
Verification:
Let's check if the pattern continues for the remaining numbers in the series.
- The fifth number, 202.625, can be obtained by multiplying 12 by 2 and adding 1 (12 * 2 + 1 = 25).
- The sixth number, 916.8125, can be obtained by dividing 25 by 2 (25 / 2 = 12.5) and subtracting 0.5 (12.5 - 0.5 = 12).
Conclusion:
Hence, the missing number in the series is 12, and the correct answer is option 'C' (56.75).
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