Question

prove the one Only one out of every three consecutive integers is Divisible by 3​

Answer 1

Answer:

the answer might be like x x+1 x+2

Answer 2

Step-by-step explanation:

ANSWER.

Let three consecutive no are

= x, x+1,x+2

CASE 1.

Let x = 3q (divisible by 3)

X+1=3q+1

X+2=3q+2

CASE 2.

Let x=3q+1

X+1=3q+1+1

=3q+2

X+2=3q+1+2

=3q+3(divisible by 3)

CASE 3.

Let x=3q+2

X+1=3q+1+2

=3q+3(divisible by 3)

X+2=3q+2+2

=3q+4

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