п(п + 1)(2n + 1) 2. Prove that 12 + 22 + 32 + 4?+ ...+n2 for every positive integer n. 6.

Let a, b and c be integers that satisfy 1 1 1 - - a b c |(A) 2022 (B) 2025 Find one possible value of |(C) 2205 a? + b? + c? (D) 2209

Use proof by cases to prove that for any integer n, n² + 3n + 7 is even.

Let n be an integer, use the definition of even to prove that 10n+ 4 is even. 10n+4=0x0 Since is a is an integer.is is also an integer. Since 10n+4 equals 2 times an integer, 10n+ 4 is even.

I need help with Discrete math

The drop down options are 'yes' and 'no'

Prove or disprove: For all odd integers a and b, 4 | (3a² + b²).

Prove or disprove: If a and b are odd integers, then 4 | (a – b) or 4 | (a+b). -

Consider the following statement. There is an integer n such that 2n² - 5n + 2 is prime. To prove the statement it suffices to find a value of n such that (n, 2n² - 5n+ 2) satisfies the property "2n² - 5n + 2 is prime." Show that you can do this by entering appropriate values for n and 2n² - 5n + 2. (n, 2n² - 5n + 2) = 3 X

Prove {12a + 4b : a and b are integers} = {4c : c is an integer}