Question

Show that any positive integer is of the form 6q+1 or 6q+3 or 6q+5

Answer 1

Here is the answer but u plz do check ur question once ... Hope it helps .. mark as btainliest ...

Answer 2

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Any number divided can be written in the form of a = bq + r

Where,

• a = Dividend

• b = Divisor

• q = Quotient

• r = Remainder

According to the question, our equation will be a = 6q + r ; where r = 0, 1, 2, 3, 4, 5.

So when r = 0 ; The equation will be a = 6q + 0 = 6q

When r = 1 ; a = 6q + 1

When r = 2 ; a = 6q + 2

When r = 3 ; a = 6q + 3

When r = 4 ; a = 6q + 4

When r = 5 ; a = 6q + 5

In the question, it's already given that the integers should be written in the form of 6q + 1, 6q + 3 and 6q + 5.

Cause the rest numbers are even, and are divisible by 2.

So the required answer =

• a = 6q + 1

• a = 6q + 3

• a = 6q + 5