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What will come in place of question mark...

What will come in place of question mark(?) in given number series.
0.5 2 4.5 8 12.5 ?

A

15

B

16

C

17

D

18

Text Solution

AI Generated Solution

The correct Answer is:
To solve the number series: 0.5, 2, 4.5, 8, 12.5, ?, we need to identify the pattern in the series. ### Step-by-Step Solution: 1. **Identify the Series**: The given series is 0.5, 2, 4.5, 8, 12.5, ?. 2. **Calculate Differences**: Let's find the difference between consecutive terms: - 2 - 0.5 = 1.5 - 4.5 - 2 = 2.5 - 8 - 4.5 = 3.5 - 12.5 - 8 = 4.5 So, the differences are: 1.5, 2.5, 3.5, 4.5. 3. **Identify the Pattern in Differences**: The differences themselves are increasing by 1: - 2.5 - 1.5 = 1 - 3.5 - 2.5 = 1 - 4.5 - 3.5 = 1 4. **Predict the Next Difference**: Following the pattern, the next difference should be: - 4.5 + 1 = 5.5 5. **Add the Next Difference to the Last Term**: Now, add this difference to the last term in the series: - 12.5 + 5.5 = 18 6. **Conclusion**: Therefore, the missing term in the series is 18. ### Final Answer: The value that comes in place of the question mark (?) is **18**.
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