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Make the character bored, not boring. Whatever the reason that you want to show how your character is bored for chapters, exactly that reason should be making the story interesting. If that doesn't...
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#3: Attribution notice added
Source: https://writers.stackexchange.com/a/33983 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#2: Initial revision
Make the character bored, not boring. Whatever the reason that you want to show how your character is bored for chapters, exactly that reason should be making the story interesting. If that doesn't make sense, your reason to have chapters of boredom is a bad one. An example would be to show the contrast between interesting politics and an oblivious king being completely bored by that. While the story evolves around him, the character is bored but you have to show how the story evolves. If however the reason for the boredom of your character is that the story is boring and there is nothing else happening, and nothing else that's interesting and that you can show, skip that! You cannot sell a book that goes _she was asleep, breathing in, breathing out, breathing in ...... a little snore ...._ for pages. But you can sell one that says _while she was sleeping, someone stole all her stuff._