Select the option that will replace the question mark in the given series 77 158 207 232 241 ........

Logical Reasoning (MTS) Number series

Select the option that will replace the question mark (?) in the given series.

77, 158, 207, 232, 241, ?

This questions was previously asked in

SSC MTS 19th July 2022 Shift-3

242

243

244

240

- To solve the series, let's examine the differences between consecutive numbers:

- 158 - 77 = 81

- 207 - 158 = 49

- 232 - 207 = 25

- 241 - 232 = 9

- Observing these differences:

- 81, 49, 25, 9 follow a pattern which seems to reduce as squares of numbers: \(9^2, 7^2, 5^2, 3^2\).

- If the pattern holds, the next difference should be \(1^2 = 1\).

- Adding this difference:

- \(241 + 1 = 242\).

- Therefore, the missing number in the series is:

Option 1: 242

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