Show that any positive integer is of the form 7q, 7q+1, 7q+2, 7q+3, 7q+4, 7q+5, 7q+6 where q is some integer. Plz do it it is urgent.
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2
Answer:
By Euclid's Division lemma
a=bq+r ,where remainder is more than 0 and less than b
let a be the number and b=7
then r can be 0,1,2,3,4,5,6
So a can be
a=7q+0=7q
a=7q+1
a=7q+2
a=7q+3
a=7q+4
a=7q+5
a=7q+6
Hence any positive integer is of the form 7q, 7q+1,
7q+2, 7q+3, 7q+4, 7q+5, 7q+6
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Step-by-step explanation:
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