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The pattern in the sequence can be seen as dividing 1 by the square of consecutive odd numbers:
1 / (1^2) = 1/1 = 1
1 / (3^2) = 1/9
1 / (5^2) = 1/25
1 / (7^2) = 1/49
The next term in the sequence would be 1 / (9^2) = 1/81.