"Result" and "consequence" are often synonyms, meaning that they mean the same thing. However, sometimes consequence has a negative connotation.
Ex: "The mother asked the girl if she understood the consequences of her actions after she stole from the store."
or "The consequences of floods are often devestating; buildings can have water in their basements which can be destructive."
Result is more commonly used in describing what happened after an event, when describing the webpages a search engine found, etc.
Ex: "The experiment's results came back positive."
"When you search Google for "dog," there are many results."
consequence - Definitions from Dictionary.com
I hope this helps!
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