Select the option that will replace the question mark to complete the given series 7 17 41 85 257 ........

Logical Reasoning (CPO) Number series

Select the option that will replace the question mark to complete the given series.

7, 17, 41, 85, ?, 257

155

165

105

150

- The series is: 7, 17, 41, 85, ?, 257.

- Notice the pattern:

- From 7 to 17: You add 10 (7 + 10 = 17).

- From 17 to 41: You add 24 (17 + 24 = 41).

- From 41 to 85: You add 44 (41 + 44 = 85).

- Analyze the differences: 10, 24, 44. Notice they are increasing.

- The differences are adding an additional 14 each time:

- 10 (initial), 24 (10 + 14), 44 (24 + 20*) doesn't fit exactly the pattern.

- From 85, we need to find the next number. Let's consider a pattern:

- 41 + 44 = 85

- 85 + 70 = 155 (Pattern seems consistent if we use +26 more each time, 44+26 = 70)

- Check your options:

- Option 1: 155 matches our calculation.

- Option 2: 165, Option 3: 105, Option 4: 150 do not fit.

- Therefore, the correct answer is Option 1: 155.

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