The coefficient of the middle term in (1 + x)^(2n) is twice the coefficient of the preceding term.
Answer
FALSE
Solution
In (1+x)^(2n), middle term is T(n+1) = C(2n,n). Preceding term T(n) = C(2n,n-1). The ratio C(2n,n)/C(2n,n-1) = (2n)!/(n!n!) × ((n-1)!(n+1)!/(2n)!) = (n+1)/n. Not equal to 2 unless n=1. So false.
About this question
Subject: Mathematics · Chapter: Binomial Theorem · Topic: General Term
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