Greatest term in fractional binomial expansion

Find the greatest term in the expansion of $(1 + x)^{ rac{21}{2}}$ when $x = rac{2}{3}$ .

~10 minAnswer checked instantlyBinomial theoremGreatest term

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIV. Binomial Theorem: Any Index, Examples XIV.b, No. 14

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).