#1426 · Algebra · Sequences & series

Middle Term of Binomial

Shew that the middle term in the expansion of $(1 + x)^{2 n}$ is $\frac{1 \cdot 3 \cdot 5 \dots ( 2 n - 1 )}{n !} 2^{n} x^{n}$ .

~10 minProof · checked by AIBinomial TheoremFactorials

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIII. Binomial Theorem: Positive Integral Index, Examples XIII.b, No. 16

Stuck? A gentle nudge

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.