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What will come in place of question. Mar...

What will come in place of question. Mark (?) in the following series questions?
3,8,18,33,53,?

A

72

B

80

C

76

D

78

Text Solution

AI Generated Solution

The correct Answer is:
To solve the series: 3, 8, 18, 33, 53, ?, we will analyze the differences between consecutive terms to identify a pattern. ### Step-by-Step Solution: 1. **Identify the series**: The series is: 3, 8, 18, 33, 53, ? 2. **Calculate the differences between consecutive terms**: - Difference between 3 and 8: \( 8 - 3 = 5 \) - Difference between 8 and 18: \( 18 - 8 = 10 \) - Difference between 18 and 33: \( 33 - 18 = 15 \) - Difference between 33 and 53: \( 53 - 33 = 20 \) So, the differences are: 5, 10, 15, 20. 3. **Observe the pattern in the differences**: The differences are increasing by 5 each time: - 5 (1st difference) - 10 (2nd difference) - 15 (3rd difference) - 20 (4th difference) 4. **Predict the next difference**: Following the pattern, the next difference should be: \( 20 + 5 = 25 \) 5. **Add the next difference to the last term in the series**: Now, we will add this difference to the last term (53): \( 53 + 25 = 78 \) 6. **Conclusion**: Therefore, the number that will come in place of the question mark (?) is **78**. ### Final Answer: The answer is **78**.
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