How do we prove :- The product of five consecutive natural numbers is divisible by 20..??
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How do we prove :- The product of five consecutive natural numbers is divisible by 20..??
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Answer:
Let five consecutive natural numbers be x, x+1,x+2,x+3,x+4
ATQ
x+x+1+x+2+x+3+x+4=20
5x+10=20
5x=20-10
X=10/5=2
Therefore, the numbers =2,2+1,2+2,2+3,2+4
LHS RHS
2+3+4+5+6=20 20
Therefore, LHS = RHS. Verified