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Select the option that will fill in the ...

Select the option that will fill in the blank and complete the given series.
4, 8, 12, 16,?

A

20

B

21

C

24

D

36

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of completing the series 4, 8, 12, 16, ?, we will analyze the pattern in the series step by step. ### Step-by-Step Solution: 1. **Identify the series**: The given series is 4, 8, 12, 16, ?. 2. **Determine the pattern**: - To find the pattern, we will look at the differences between consecutive numbers: - From 4 to 8: \(8 - 4 = 4\) - From 8 to 12: \(12 - 8 = 4\) - From 12 to 16: \(16 - 12 = 4\) 3. **Recognize the consistent difference**: - We can see that the difference between each pair of consecutive numbers is consistently 4. 4. **Calculate the next number**: - To find the number that will replace the question mark, we will add 4 to the last number in the series (16): - \(16 + 4 = 20\) 5. **Conclusion**: - Therefore, the number that completes the series is 20. ### Final Answer: The answer is **20**.
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