How Do You Calculate the Middle Term in a Binomial Expansion?
To calculate the middle term in a binomial expansion, you need to check whether n (the exponent in (a + b)^n) is even or odd:
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If n is even, the middle term is the term where r = n/2.
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If n is odd, there are two middle terms, corresponding to r = n/2 and r = (n/2)+1.