Sum of a combined series

Find the sum of the first $n$ terms of the series $x + a, x^{2} + 2 a, x^{3} + 3 a, \dots$

~10 minAnswer checked instantlygeometric progressionarithmetic progressionseries sum

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. V. Geometrical Progression, Examples V.b, No. 12

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