MathCastle
Algebra 1SuperchallengeFoundations

Foundations · Superchallenge problem

Evaluate the pattern   11⋅2+12⋅3+13⋅4+⋯+19⋅10\;\dfrac{1}{1\cdot 2} + \dfrac{1}{2\cdot 3} + \dfrac{1}{3\cdot 4} + \cdots + \dfrac{1}{9\cdot 10}.