Exactly one number in 7, 13, 25, 49, 97, 194, 385 breaks the rule. Which number is it?

Explanation

1. 01

   Differences: 6, 12, 24, 48, 97, 191. The first four double, then the pattern breaks.

2. 02

   The rule is $\times 2 - 1$: $7 \to 13 \to 25 \to 49 \to 97$, and next $97 \times 2 - 1 = 193$.

3. 03

   Then $193 \times 2 - 1 = 385$ matches the last term, so 194 is wrong.