SATHEE: Binomial-Theorem-And-Its-Simple-Applications Question 221

Binomial-Theorem-And-Its-Simple-Applications Question 221

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. $

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Binomial-Theorem-And-Its-Simple-Applications Question 221

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

Options:

Answer:

Solution:

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