#1732 · Algebra · Sequences & series

Determine Parameters for a General Term

Find $a$ and $b$ so that the $n^{th}$ term in the expansion of $\frac{a + b x}{( 1 - x ) ^{2}}$ may be $(3 n - 2) x^{n - 1}$ .

~8 minAnswer checked instantlybinomial theoremundetermined coefficientsgenerating functions

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXII. Undetermined Coefficients, Examples XXII.b, No. 6

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