Binomial Theorem And Its Simple Applications Question 60

Question: The statement $ P(n) $ $ 1\times 1!+2\times 2!+3\times 3!+…+n\times n! $ $ =(n+1)!-1 $ is

Options:

A) True for all $ n>1 $

B) Not true for any n

C) True for all $ n\in N $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] check for $ n=1,2,3,…, $ it is true for all $ n\in N. $