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Numbers in General Form

29. if a posi...

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29. if a positive integer is of form 6q+5 then it can be written in form 3q+2 for some integer q but not conversely

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Prove that if a positive integer is of the form 6q+5, then it is of the form 3q+2 for some integer q but not conversely.

Q. Show that any positive odd integer can be one of the forms

6 q + 1

6 q + 3

6 q + 5

q

is some integer

Show that any positive even integer can be written in the form 6q,6q+2 and 6q+4 where q is an integer

Q. If these numbers form positive odd integer 6q+1, or 6q+3 or 6q+5 for some q then q belongs to:

Q. If the square of an odd positive integer can be of the form

6 q + 1

6 q + 3

q

then q belongs to:

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