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Question

In the following series, two numbers have been placed inside brackets. Study the series carefully and select the correct option regarding the series.

1, 2, 5, 10, (15), 26, 37, 50, (66), 82

This question was previously asked in
SSC GD 2018 Question Paper Hindi (11-Mar-2019) (Shift 3)
The correct answer is

Both the numbers placed in brackets are wrong.

Each term is (n² + 1) for n = 0, 1, 2, 3, ...

0² + 1 = 1, 1² + 1 = 2, 2² + 1 = 5, 3² + 1 = 10

Fifth term = 4² + 1 = 17, not 15, so the first bracketed number is wrong.

Then 5² + 1 = 26, 6² + 1 = 37, 7² + 1 = 50

Ninth term = 8² + 1 = 65, not 66, so the second bracketed number is also wrong (9² + 1 = 82 confirms the rule).

Hence, Both the numbers placed in brackets are wrong..

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