If n=100 !, then what is the value of the following? 1 ₂ n + 1 ₃ n + 1 ₄ n + + 1 ₁₀₀ n

Step-by-step solution

From 1 _a b = _b a 1 ₂ n + 1 ₃ n + 1 ₄ n + 1 ₅ n + .+ 1 ₁₀₀ n aligned & = _n 2+ _n 3+ _n 4+ . .+ _n 100 & = _n(2 3 4 5 . .100)= _n 100! & As n=100! (given) & _ 100! 100!=1 . aligned