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Find counterexample to each statement:

All prime numbers are odd:

Counterexample:

b) Let n be an integer. If (n^2 + n) is even; then n is even.

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02:24

For each of the following statements, either prove that the statement is true O give a counterexample that disproves it. If n is an odd integer then 3n is odd:For all positive integers n, 4n? Iln + 6 = n3 2n2 _The product of four consecutive integers is divisible by 8_

02:00

Find a counterexample for each statement. $$2^{n}+2 n^{2} \text { is divisible by } 4$$

01:08

Find a counterexample for each statement. $$2^{n}+3^{n} \text { is divisible by } 4$$

01:53

Show that if n is an odd prime number it is not necessarily true that n + 2 is prime.

03:14

Find a counterexample for ” $n$ is divisible by 4 if and only if $n^{2}$ is even.”

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