If n=(2017)! , then what is 1 ₂ n + 1 ₃ n + 1 ₄ n + .+ 1 ₂₀₁₇ n equal to

Step-by-step solution

aligned & n =(2017)! & 1 ₂ n + 1 ₃ n + 1 ₄ n + .+ 1 ₂₀₁₇ n & = 1 n 2 + 1 n 3 + 1 n 4 + .+ 1 n 2017 & ( _ a ~b = _ b _ a ) & = 2 n + 3 n + 4 n + .+ 2017 n & = 2+ 3+ 4+ .+ 2017 n & = (2 3 4 2017) _ n ( a+ b+ c+ ( a.b.c..... ) & = (2017!) _ n = _ n _ n =1 aligned