rajasinghjery2003
rajasinghjery2003 rajasinghjery2003
  • 10-08-2019
  • Mathematics
contestada

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

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profarouk profarouk
  • 10-08-2019

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

:)

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kate8823
kate8823 kate8823
  • 10-08-2019
any multiple of 4 would work here its hard to explain i cant if u want but just try it & trust me
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