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What is the arithmetic mean an of the given terms 
An-1=4,an+1=12
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According to this article of Wikipedia
   In mathematics and statistics, the arithmetic mean, or simply the mean or average when the context is clear, 
   is the sum of a collection of numbers divided by the number of numbers in the collection.
Based on this, the arithmetic mean in your case is 
 = 
 = 8.