What is the next number in the series: 3, 6, 11, 18, ...? (2023)

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Question: What is the next number in the series: 3, 6, 11, 18, ...? (2023)

Options:

Correct Answer: 26

Exam Year: 2023

Solution:

The differences between the numbers are 3, 5, 7, which increase by 2 each time. The next difference is 9, so 18 + 9 = 27.

What is the next number in the series: 3, 6, 11, 18, ...? (2023)

What is the next number in the series: 3, 6, 11, 18, ...? (2023)

Step 1: Look at the series of numbers: 3, 6, 11, 18.
Step 2: Find the difference between each pair of numbers.
Step 3: Calculate the difference between 3 and 6, which is 3.
Step 4: Calculate the difference between 6 and 11, which is 5.
Step 5: Calculate the difference between 11 and 18, which is 7.
Step 6: Write down the differences: 3, 5, 7.
Step 7: Notice that the differences are increasing by 2 each time: 3 to 5 is 2, and 5 to 7 is 2.
Step 8: The next difference should be 7 + 2 = 9.
Step 9: Add this next difference (9) to the last number in the series (18).
Step 10: Calculate 18 + 9, which equals 27.
Step 11: Therefore, the next number in the series is 27.

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