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Question

To move up a level in a game, Cathy has to find the next number in the given series. Help her find the next number.

1, 3, 19, 457, ?

A
54,841
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B
54,941
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C
54,849
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D
64,841
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Solution

The correct option is A 54,841
The given series is 1, 3, 19, 457, ?.

The series follows the pattern:
1
1 × 2 + 1 = 3

The number is multiplied with 1 × 2, and 1 is added to the result.
The final result is used as the next number.

3 × 1 × 2 × 3 + 1 = 19

The number multiplied with 1 × 2 × 3, and 1 is added to the result.
The final result is used as the next number.

19 × 1 × 2 × 3 × 4 + 1 = 457

The number is multiplied with 1 × 2 × 3 × 4, and 1 is added to the result.
The final result is used as the next number.

The next number would be
457 × 1 × 2 × 3 × 4 × 5 + 1 = 54,841

The number is multiplied with 1 × 2 × 3 × 4 × 5, and 1 is added to the result.

Hence, the missing number is 54,841.

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