math

posted by .

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

  • math -

    The odd numbers 1,3, and 5 cannot be obtained using any of the above expressions with q a positive integer.
    Only if q = 0, and q is not a positive integer.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. discrete math

    Prove by contradiction that for any even integer a and any odd integer b, 4 does not divide (a^2 + 2b^2). Proposition: That 4k (k is any integer) = a^2 +2b^2, and a is even, and b is odd. But 4k is even (product of any integer and …
  2. Math

    When you add a positive integer and a negative integer, you sometimes get a negative result and sometimes get a positive result. Is the same true when you multiply a positive integer and a negative integer?
  3. math

    Show that any positive integer is of the form 4q, 4q+2, where q is any positive integer.
  4. math

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

    show that any positive integer is of the form 4q, 4q+2, where q is any positive integer.
  6. MATH

    Find the only positive integer whose cube is the sum of the cubes of three positive integers immediately preceding it. Find this positive integer. Your algebraic work must be detailed enough to show this is the only positive integer …
  7. maths

    prove that any odd positive integer of 8q+1,where q is any integer?
  8. Math (Complex Numbers)

    Let N be the sum of all prime powers that can be written as 4^n+n^4 for some positive integer n. What are the last 3 digits of N?
  9. DISCRETE MATHS

    We need to show that 4 divides 1-n2 whenever n is an odd positive integer. If n is an odd positive integer then by definition n = 2k+1 for some non negative integer, k. Now 1 - n2 = 1 - (2k+1)2 = -4k2-4k = 4 (-k2-4k). k is a nonnegative …
  10. maths

    the non- decreasing sequence of odd integers {a1, a2, a3, . . .} = {1,3,3,3,5,5,5,5,5,...} each positive odd integer k appears k times. it is a fact that there are integers b, c, and d such that, for all positive integers n, aƱ = …

More Similar Questions