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Algebra Level 5

Comprehension :- If \(r^{th}\) term of a series can be written as \( a_r = f(r)-f(r-1) \) ,then \(S_n= \sum_{r=0}^n a_r =f(n)-f(0)\) and \(S_\infty =\lim\limits_{n \to \infty} S_n,\)then answer the question

If \(3(3!)+4(4!)+5(5!)+...50\) \(terms\) \(=a!-b\) then \(a-b\) is equal to..

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