#1041 · Algebra · Sequences & series
Alternating ratio series
Find the sum of terms of a series of which every even term is times the term before it, and every odd term times the term before it, the first term being unity.
H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. V. Geometrical Progression, Examples V.b, No. 20
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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).