Question

Prove or disprove that 3|(n^3 − n) for every positive integer n.

Prove or disprove that 3|(n^3 − n) for every positive integer n.

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
Disprove (using any proof method) For every positive integer n, the integer n n−1 is even
Disprove (using any proof method) For every positive integer n, the integer n n−1 is even
Prove that for every positive integer n, there exists a multiple of n that has for...
Prove that for every positive integer n, there exists a multiple of n that has for its digits only 0s and 1s.
Prove that for every positive integer n, there exists an irreducible polynomial of degree n in...
Prove that for every positive integer n, there exists an irreducible polynomial of degree n in Q[x].
(a) Prove or disprove the statement (where n is an integer): If 3n + 2 is...
(a) Prove or disprove the statement (where n is an integer): If 3n + 2 is even, then n is even. (b) Prove or disprove the statement: For irrational numbers x and y, the product xy is irrational.
Let a be prime and b be a positive integer. Prove/disprove, that if a divides b^2...
Let a be prime and b be a positive integer. Prove/disprove, that if a divides b^2 then a divides b.
Prove that every integer of the form 5n + 3 for n ∈ Z, n ≥...
Prove that every integer of the form 5n + 3 for n ∈ Z, n ≥ 1, cannot be a perfect square
Prove or disprove the following statement: 2^(n+k) is an element of O(2^n) for all constant integer...
Prove or disprove the following statement: 2^(n+k) is an element of O(2^n) for all constant integer values of k>0.
Prove that 2n < n! for every integer n ≥ 4.
Prove that 2n < n! for every integer n ≥ 4.
Prove that a positive integer n, n > 1, is a perfect square if and only...
Prove that a positive integer n, n > 1, is a perfect square if and only if when we write n = P1e1P2e2... Prer with each Pi prime and p1 < ... < pr, every exponent ei is even. (Hint: use the Fundamental Theorem of Arithmetic!)
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.)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT