The following are the first five terms of an infinite sequence. Find a formula for the general term starting with n = 1 , and write down the entire sequence. 
Definitions:
Unverified Belief
A belief held without sufficient evidence or confirmation.
Rumours
Unverified pieces of information or stories spread informally, often without any factual basis.
Anxious
A feeling of worry, nervousness, or unease about something with an uncertain outcome, often reflecting concern about future events.
Gossip
Informal or unofficial discourse about others, typically involving details that are not confirmed as true.
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