Question

Product of two consecutive integer is divisible by (a) 2 (b) 3 (c) 5 (d) 7​

Answer 1

Answer:

Step-by-step explanation:

a)2

Eg: 2,3=2×3=6

5,6=5×6=30

Which are divisible by 2

Answer 2

Answer:

Let the 2 consecutive numbers be, x,x+1

product of these consecutive numbers, =x(x+1)

(1) even

let, x=2k

product =2k[2k+1]

from above equation it is clear that the product is divisible by 2

(2) odd

let, x=2k+1

product =(2k+1)[(2k+1)+1]

=2(2k

2

+3k+1)

from above equation it is clear that the product is divisible by 2

Step-by-step explanation:

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