EasySequences & series

#1758 · Algebra · Sequences & series

Generating function of an arithmetico-geometric series

Find the generating function and the general term of the series $1 + 5x + 9x^2 + 13x^3 + ullet ullet ullet$ .

~8 minAnswer checked instantlyrecurring seriesgenerating function

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXIV. Recurring Series, Examples XXIV, No. 1

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