Asked by Sam
A student states that for any positive integer n is the sum of n successive integers is always divisible by n. Which of the following can be used to disprove the student's statement?
Please provide answer and how you got it!
A) 1+2=3
B) 1+2+3=2x3
C) 1+2+3+4+5=3x5
D) p+(p+1)+(p+2)=3(p+1)
E) (p+1)+(p+2)+(p+3)+(p+4)+(p+5)=5(p+3)
Please provide answer and how you got it!
A) 1+2=3
B) 1+2+3=2x3
C) 1+2+3+4+5=3x5
D) p+(p+1)+(p+2)=3(p+1)
E) (p+1)+(p+2)+(p+3)+(p+4)+(p+5)=5(p+3)
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