What will be the next number of the series 3 6 10 5 17 26 ........

Logical Reasoning (CUET) Number series

What will be the next number of the series 3, 6, 10.5, 17, 26, ?

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CUET General Aptitude Test Previous Year Question Paper (2024)

- Identify the pattern in the series: 3, 6, 10.5, 17, 26.

- Calculate the differences: 6 - 3 = 3, 10.5 - 6 = 4.5, 17 - 10.5 = 6.5, 26 - 17 = 9.

- Differences are 3, 4.5, 6.5, and 9. Notice the increment: 1.5, 2, 2.5.

- Predict the next difference by adding 3 to the last difference (9 + 3 = 12).

- Add this to the last number in the series: 26 + 12 = 38.

- Option 1: 31 - Does not follow the predicted pattern.

- Option 2: 38 - Matches our calculated result.

- Option 3: 40 - Not aligned with calculated series.

- Option 4: 41 - Exceeds the projected sum.

Answer: Option: 2 - 38

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