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in Binomial Theorem, Sequences and Series by (46.9k points)
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If n is an odd positive integer, prove that the coefficients of the middle terms in the expansion of (x + y)n are equal.

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Given n is odd. So let n = 2n + 1, where n is an integer.

The expansion (x + y)n has n + 1 terms. 

= 2n + 1 + 1 = 2(n + 1) terms which is an even number.

So the middle term are 

⇒ The coefficient of the middle terms in (x + y)n are equal

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