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• r  in a credulous manner
  the children followed the teacher credulously

• Guillen was impressed enough to overlook one of the fundamental laws of physics "So," he asked credulously, "it is producing 120% more energy than it is consuming?.
• In one memo, Steven Bradbury, a deputy assistant attorney general, credulously cites CIA medical experts who argued that "even very extended sleep deprivation does not cause .
• The age professed skepticism and credulously embraced charlatans like Count Cagliostro, who had a yellow pill that would keep one permanently young, la Dorian Gray.

• believingly

• incredulously
• unbelievingly