#1496 · Algebra · Linear equations

Middle Term Coefficient Identity

Show that the middle term of $(x + \frac{1}{x})^{4 n}$ is equal to the coefficient of $x^{n}$ in the expansion of $(1 - 4 x)^{- (n + \frac{1}{2})}$ .

~20 minProof · checked by AIBinomial TheoremCoefficient Extraction

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIV. Binomial Theorem: Any Index, Examples XIV.c, No. 13

Stuck? A gentle nudge

Something off?

Workspace

Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.