#1376 · Algebra · Sequences & series
Telescoping series sum
Prove by induction that rac{1}{1 imes 2} + rac{1}{2 imes 3} + rac{1}{3 imes 4} + o o ext{ to } n ext{ terms} = rac{n}{n + 1} for all positive integers .
H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XII. Mathematical Induction, Examples XII, No. 4
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