Respond to this Question
Similar Questions

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 … 
Discrete Math
1. Assume that n is a positive integer. Use the proof by contradiction method to prove: If 7n + 4 is an even integer then n is an even integer. 2. Prove: n is an even integer iff 7n + 4 is an even integer. (Note this is an if and only … 
math
show that any positive odd integer is of the form 6q+1, 6q+3 or 6q+5, where q is any positive integer. 
Algebra
The sum of two consecutive odd integers is 56. A. Define a variable for the smaller integer. B. What must you add to an odd integer to get the next greater odd integer? 
maths
if n is an odd positive integer, then prove that n^2 1 is divisible by 8 
DISCRETE MATHS
We need to show that 4 divides 1n2 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 = 4k24k = 4 (k24k). k is a nonnegative … 
DISCRETE MATHS
Prove that if n is an odd positive integer, then 1 ≡ n2 (mod 4). 
algebra 1
PLEASE HELP! NO ONE ANSWERED THE QUESTION three times an odd integer is eleven less than four times the next greater even integer. What is the odd integer? 
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, aĆ± = … 
Algebra 1 Polynomials
Suppose n is an integer. Select all statements below that are true: (choose 3) A) n^2 + n is always an even integer*** B) n^2 + n is always an even integer when n is even*** C) n^2 + n is always an even integer when n is odd*** D) …