In September Silva tweeted an image of a young Mendy alongside an image of the character representing the Spanish chocolate peanut brand Conguitos, before deleting it 46 minutes later.
Anti-discrimination campaign Kick It Out commented following the Portuguese midfielder's post.
As well as the one game ban, which will see the Portuguese midfielder miss the game against Chelsea after the global break, he's been fined £50,000 and will be made to complete a face-to-face educational course.
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He was charged with an "aggravated breach" of the FA's rules on social media as the tweet referenced Mendy's race, despite the midfielder taking down the post.
In their commission report, the FA also explain that the player did not intend for the tweet to be racist or insulting.
Meanwhile, Manchester City are now occupying fourth position on the Premier League standings and they have lost three games this season.
Although the tweet was regarded as a joke by the player who later deleted it on his social media account, but the FA explained that it is capable of bringing the game into disrepute.
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But the FA verdict added "that his was not a private jocular communication between two friends".
As part of the punishment, Silva must also complete a course of face-to-face education after admitting to a breach of league rules.
"The post was on a social media platform exposed to the 600,000 followers of a high-profile and well-respected professional footballer".
Although the FA said the intent wasn't racist, they made a decision to ban the player for Manchester City's next match and this means he won't be able to take on Chelsea in the Premier League on November 23.
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