Question

show that any positive integer is of the form 6 q+1, or 6 q+3 ,or 6 q+5 , where q is some integer​

Answer 1

Hey Ma8 ,

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given , b = 6

by euclids division lemma

a = bq + r , 0 <= r < b

r = 0,1,2,3,4,5

=> if r = 1

6q + 1

=> if r = 3

6q + 3

=> if r = 5

6q + 5


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