Question

Prove that if n is a positive integer greater than 1, then n! + 1 is...

Prove that if n is a positive integer greater than 1, then n! + 1 is odd

Prove that if a, b, c are integers such that a2 + b2 = c2, then at least one of a, b, or c is even.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Discrete Math 6. Prove that for all positive integer n, there exists an even positive integer...
Discrete Math 6. Prove that for all positive integer n, there exists an even positive integer k such that n < k + 3 ≤ n + 2 . (You can use that facts without proof that even plus even is even or/and even plus odd is odd.)
Prove by contradiction that: If n is an integer greater than 2, then for all integers...
Prove by contradiction that: If n is an integer greater than 2, then for all integers m, n does not divide m or n + m ≠ nm.
Let n be an integer greater than 2. Prove that every subgroup of Dn with odd...
Let n be an integer greater than 2. Prove that every subgroup of Dn with odd order is cyclic.
3.a) Let n be an integer. Prove that if n is odd, then (n^2) is also...
3.a) Let n be an integer. Prove that if n is odd, then (n^2) is also odd. 3.b) Let x and y be integers. Prove that if x is even and y is divisible by 3, then the product xy is divisible by 6. 3.c) Let a and b be real numbers. Prove that if 0 < b < a, then (a^2) − ab > 0.
1. Let n be an odd positive integer. Consider a list of n consecutive integers. Show...
1. Let n be an odd positive integer. Consider a list of n consecutive integers. Show that the average is the middle number (that is the number in the middle of the list when they are arranged in an increasing order). What is the average when n is an even positive integer instead? 2. Let x1,x2,...,xn be a list of numbers, and let ¯ x be the average of the list.Which of the following statements must be true? There might...
Prove the statement: For all integers a, b,and c, if a2 + b2 = c2, then...
Prove the statement: For all integers a, b,and c, if a2 + b2 = c2, then a or b is even.
Prove: If n ≡ 3 (mod 8) and n = a2 + b2 + c2 +...
Prove: If n ≡ 3 (mod 8) and n = a2 + b2 + c2 + d2, then exactly one of a, b, c, d is even. (Hint: What can each square be modulo 8?)
Let n be a positive odd integer, prove gcd(3n, 3n+16) = 1.
Let n be a positive odd integer, prove gcd(3n, 3n+16) = 1.
Use Mathematical Induction to prove that 3n < n! if n is an integer greater than...
Use Mathematical Induction to prove that 3n < n! if n is an integer greater than 6.
6. Consider the statment. Let n be an integer. n is odd if and only if...
6. Consider the statment. Let n be an integer. n is odd if and only if 5n + 7 is even. (a) Prove the forward implication of this statement. (b) Prove the backwards implication of this statement. 7. Prove the following statement. Let a,b, and c be integers. If a divides bc and gcd(a,b) = 1, then a divides c.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT