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Dimas [21]
3 years ago
14

Prove that the product of the second and third numbers out of four consecutive whole numbers is two greater than the product of

the first and the fourth numbers.
Mathematics
1 answer:
podryga [215]3 years ago
6 0

Let the four consecutive numbers be x,x+1,x+2,x+3.

Now the product of second and third number=(x+1)(x+2)=x²+3x+2=k

Product of first and fourth number=x(x+3)=x²+3x=k-2

A.T.Q

product of second and third number= product of first and fourth number+2

Hence proved

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