Multiple Choice Questions

Select the numberthat can replace the question mark in the followingseries 5 10 26 122 170 ........

Logical Resoning (CGL) Number series

Select the numberthat can replace the question mark (?) in the followingseries.

5, 10, 26, ?, 122, 170

This questions was previously asked in

SSC CGL 6th March 2020 Shift-1

- The sequence given is: 5, 10, 26, ?, 122, 170.

- Look at the differences between consecutive numbers:

- 10 - 5 = 5

- 26 - 10 = 16

- ? - 26

- 122 - ?

- 170 - 122 = 48

- Notice the pattern in the differences:

- The differences appear to increase by a sequence: 5, 16, ?

- The pattern seems to follow the squares of consecutive numbers:

- 5 = $1^{2} + 4$ , 16 = $2^{2} + 12$ .

- The next should be $3^{2} + 22 = 31$ .

- Therefore, the missing number should be 26 + 31 = 57.

- The number 57 should replace the question mark.

None of the given options is correct.

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