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N(n+1)(n+2)(n+3)is a multiple of 4

2 Answers

1 vote
any multiple of 4 would work here its hard to explain i cant if u want but just try it & trust me
User Reneli
by
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2 votes

Answer:

good evening,

You should notice that :

n=4K or n=4K+1 or n=4K+2 or n=4K+3

If n=4k so n(n+1)(n+2)(n+3)is a multiple of 4

If n=4K+1 so n+3 =4(k+1) so n(n+1)(n+2)(n+3)is a multiple of 4

If n=4K+2 so n+2 =4(k+1) so n(n+1)(n+2)(n+3)is a multiple of 4

If n=4K+3 so n+1=4(k+1) so n(n+1)(n+2)(n+3)is a multiple of 4

:)

User Dino Sunny
by
7.9k points

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