Question

Prove that if a is an integer, then 3 | (a^3 - a).

Prove that if a is an integer, then 3 | (a^3 - a).

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
a) Prove: If n is the square of some integer, then n /≡ 3 (mod 4)....
a) Prove: If n is the square of some integer, then n /≡ 3 (mod 4). (/≡ means not congruent to) b) Prove: No integer in the sequence 11, 111, 1111, 11111, 111111, . . . is the square of an integer.
Prove that if n is an integer and 3 is a factor of n 2 ,...
Prove that if n is an integer and 3 is a factor of n 2 , then 3 is a factor of n.
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.
Prove by mathematical induction: n3​ ​– 7n + 3 is divisible by 3, for each integer...
Prove by mathematical induction: n3​ ​– 7n + 3 is divisible by 3, for each integer n ≥ 1.
prove that for every integer m, the number (m^3 +3m^2 +2m)/6 is also an integer can...
prove that for every integer m, the number (m^3 +3m^2 +2m)/6 is also an integer can I get a step by step induction proof please.
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
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.
Suppose n ≥ 3 is an integer. Prove that in Sn every even permutation is a...
Suppose n ≥ 3 is an integer. Prove that in Sn every even permutation is a product of cycles of length 3. Hint: (a, b)(b, c) = (a, b, c) and (a, b)(c, d) = (a, b, c)(b, c, d).
Show 2 different solutions to the task. Prove that for every integer n (...-3, -2, -1,...
Show 2 different solutions to the task. Prove that for every integer n (...-3, -2, -1, 0, 1, 2, 3, 4...), the expression n2 + n will always be even.
Prove let n be an integer. Then the following are equivalent. 1. n is an even...
Prove let n be an integer. Then the following are equivalent. 1. n is an even integer. 2.n=2a+2 for some integer a 3.n=2b-2 for some integer b 4.n=2c+144 for some integer c 5. n=2d+10 for some integer d
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT