Question

If n is an odd integer, prove that 12 divides n2+(n+2)2+(n+4)2+1. Please provide full solution!

If n is an odd integer, prove that 12 divides n2+(n+2)2+(n+4)2+1. Please provide full solution!

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use Mathematical Induction to prove that for any odd integer n >= 1, 4 divides 3n+1.
Use Mathematical Induction to prove that for any odd integer n >= 1, 4 divides 3n+1.
For any odd integer n, show that 3 divides 2n+1. That is 2 to the nth...
For any odd integer n, show that 3 divides 2n+1. That is 2 to the nth power, not 2 times n
Statement: "For all integers n, if n2 is odd then n is odd" (1) prove the...
Statement: "For all integers n, if n2 is odd then n is odd" (1) prove the statement using Proof by Contradiction (2) prove the statement using Proof by Contraposition
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.
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.
Prove the following: Let n∈Z. Then n2 is odd if and only if n is odd.
Prove the following: Let n∈Z. Then n2 is odd if and only if n is odd.
Suppose that a is an odd integer and (a,91)=1. Prove that a^12≡1(mod 1456).
Suppose that a is an odd integer and (a,91)=1. Prove that a^12≡1(mod 1456).
Let n be an odd integer. Prove that 5460 | n25 −n
Let n be an odd integer. Prove that 5460 | n25 −n
Prove that if 4 does not divides n, then 8 does not divides n^2. * Use...
Prove that if 4 does not divides n, then 8 does not divides n^2. * Use the division algorithm and proof by cases with r = 1,2 and 3
let n be an odd integer ,prove that 5460 | n^25-n
let n be an odd integer ,prove that 5460 | n^25-n
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT