Question

show that any positive odd integer is of the form 5q + 1, 5q + 3 where Q is some integer​

Answer 1

Answer:

let take a positive integer be a and b=5

as per Euclid division lemma a=bq+r where 0 is greater or equal to zero

so possible values of r is 0,1,2,3,4

a=5q+0(put r=0)

a=5q

a= 5q+1(putr=1)

a=5q+2(put r=2)

a=5q+3(put r=3)

a=5q+4(put r=4)

so 1 and 3 are odd digit hence it can express in form of 5q+1 and 5q+3.

Step-by-step explanation:

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Answer 2

Here is your Answer

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