What will come in place of question mark in the following number series 2 5 11 23 44 77 ........

Quantitative Aptitude(Banking) Number series

What will come in place of question mark (?) in the following number series?

2, 5, 11, 23, 44, 77, ?

This questions was previously asked in

RBI Assistant Prelims (26 March 2022)

150

125

None of these

- To solve the series, observe how the numbers progress.

- Check differences between consecutive numbers: 5-2=3, 11-5=6, 23-11=12, 44-23=21, 77-44=33.

- Notice the pattern in differences: they are increasing by 3, 6, 9, 12, etc.

- These differences increase by successive multiples of 3: 3, 6, 9, 12.

- Add next multiple of 3 (15) to the difference (33) to get 48.

- Add 48 to 77 to find next number: 77 + 48 = 125.

- Correct Answer: Option 3 - 125

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