#1026 · Algebra · Sequences & series

Finite series with powers of two

Find the sum of the first $n$ terms of $1 + \frac{2}{2} + \frac{3}{2 ^{2}} + \frac{4}{2 ^{3}} + \dots$ .

~3 minAnswer checked instantlySequencesSeries

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. V. Geometrical Progression, Examples V.b, No. 4

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