Show that every positive even integer is...

Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q + 1, where q is some integer.

Similar Questions

Explore conceptually related problems

Show that every positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.

Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.

Any positive odd integer a is of the form ........ for some integer m.

Show that any positive odd integer is of the form 6q + 1 or 6q + 3 or 6q + 5, where q is some integer.

Use division algorithm to show that any positive odd integer is of the form 6q + 1, or 6q + 3 or 6q + 5, where q is some integer

Show that the square of an odd positive c integer is of the form 6q + 1 or 6q + 3 for some integer q.

Show that the square of any positive integer is of the form 4m or 4m + 1 for some integer m.

Show that the cube of any positive integer j is of the form 4m or 4m + 1 or 4m + 3 for some integer m.

Show that the square of any positive integer is of the form 5 m or 5 m pm 1.

Show that the square of any positive integer cannot be of the form 6m + 2 or 6m + 5 for ? some integer m.