For all n≥1, Prove that:11⋅2+12⋅3+13⋅4+⋯+1n(n+1)=nn+1

1.	For all n≥1, Prove that:11⋅2+12⋅3+13⋅4+⋯+1n(n+1)=nn+1
Answer» For all $n \geq 1$ , Prove that: $\frac{1}{1 \cdot 2} + \frac{1}{2 \cdot 3} + \frac{1}{3 \cdot 4} + \dots + \frac{1}{n (n + 1)} = \frac{n}{n + 1}$

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For all n≥1, Prove that:11⋅2+12⋅3+13⋅4+⋯+1n(n+1)=nn+1

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