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Prove that if n is a positive integer then n is even if and only if 7n+4 is even.

Prove that if n is a positive integer then n is even if and only if 7n+4 is even.

Subject:

Math

Topic:

Discrete Structures

Posting ID:

98067

OTA ID:

103300

View Details $1.99 Download Add to Cart

Perfect Square Proof

Prove that 2 * 10^500 + 15 or 2 * 10^500 + 16 is not a perfect square. Is your proof constructive or nonconstructive? Note: ^ is to the power of

Subject:

Math

Topic:

Discrete Structures

Posting ID:

98068

OTA ID:

103300

View Details $1.99 Download Add to Cart

Prove that these four statements are equivalent: i)n^2 is odd, (ii) 1 - n is even, (iii) n^3 is odd , (iv) n^2 +1 is even

Prove that these four statements are equivalent: i) n^2 is odd, (ii) 1 - n is even, (iii) n^3 is odd , (iv) n^2 +1 is even

Subject:

Math

Topic:

Discrete Structures

Posting ID:

98071

OTA ID:

103300

View Details $1.99 Download Add to Cart

Methods of proof

Prove that the square of an even number is an even number using: a) a direct proof b) an indirect proof c) proof by contradiction

Subject:

Math

Topic:

Discrete Structures

Posting ID:

98111

OTA ID:

103300

View Details $1.99 Download Add to Cart

Methods of proof

Prove that if n is a positive integer, then n is even if and only if 7n+4 is even

Subject:

Math

Topic:

Discrete Structures

Posting ID:

98115

OTA ID:

101298

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