#1464 · Algebra · Sequences & series

Greatest term with powers and parameters

Find the greatest term in the expansion of $(3 x^{2} + 4 y^{3})^{- n}$ when $x = 9$ , $y = 2$ , and $n = 15$ .

~15 minAnswer checked instantlyBinomial theoremGreatest term

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIV. Binomial Theorem: Any Index, Examples XIV.b, No. 18

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