SATHEE: Principle Of Mathematical Induction Question 42

Principle Of Mathematical Induction Question 42

Question: The greatest positive integer, which divides $ n(n+1)(n+2)(n+3) $ for all $ n\in N, $ is

Options:

A) 2

B) 6

C) 24

D) 120

Show Answer

Answer:

Correct Answer: C

Solution:

[c] The product of r consecutive integers is divisible by r! thus $ n(n+1)(n+2)(n+3) $ is divisible by $ 4!=24. $

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Principle Of Mathematical Induction Question 42

Question: The greatest positive integer, which divides $ n(n+1)(n+2)(n+3) $ for all $ n\in N, $ is

Options:

Answer:

Solution:

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