Problem 9 (2022 AMC 10B)
AMC 10BMedium
From module Telescoping Sums and Products
Problem
The sum[ rac{1}{2!}+ rac{2}{3!}+ rac{3}{4!}+\cdots+ rac{2021}{2022!}]can be expressed as a- rac{1}{b!}, where and are positive integers. What is ?
From module Telescoping Sums and Products
The sum[ rac{1}{2!}+ rac{2}{3!}+ rac{3}{4!}+\cdots+ rac{2021}{2022!}]can be expressed as a- rac{1}{b!}, where and are positive integers. What is ?