Math, asked by RadhikaKrishn, 8 months ago

4. Show that any positive integer is of the form 3 or 3q + 1 or 3q +2 for some integer q.
please answer fast ⚡​

Answers

Answered by anjaliwaghmode1983
1

Answer:

let x be the integer

x=39

x²=9q?

x²=3(3q)

x²=3q [let 3q? be q]

x=3q+1

x²-(3q+1)? x²=9q?+6q+1

x²=3(3q?+2q)+1 x²-(3q+1) [let 3q?+2q be q]

x=3q+2 x²-(3q+2)?

x²=9q?+12q+4 x²=3(3q?+4q+1)+1

x²=(3q+1) [3q2+4q+1 be q]

it proves q? is in the form of 3q and (3q+1) but

not in the form of (3q+2)

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