(a) an even number (c) an odd number appears (b) a prime number appears (d) an odd prime number appears appears

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A: Given, Sum of two different prime number is a ______

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Q: Difference of two distinct prime numbers is? Ngne of the mentioned Odd and prime ADl of the…

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Q: Five-digit Numbers How many five-digit numbers can beformed using the digits 0, 1, 2, 3, 4, 5, 6, 7,…

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Q: Use the Principle of Mathematical Induction (PMI) to prove that the following statement is true for…

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Q: Four-digit Numbers How many four-digit numbers can beformed using the digits 0, 1, 2, 3, 4, 5, 6, 7,…

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Q: 5. s* -1 is a multiple of 8 for all natural numbers n

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Q: Which is a step in proof by mathematical induction?   a. Substitute n = k + 2 into the formula. b.…

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Q: Using direct proof method, prove the following. If n is an even integer then n² + 11 is odd. Answer:

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Q: 3. Suppose a formula that you need to prove by mathematical induction is true for all the natural…

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Q: All prime numbers are odd.

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Q: Give an example or state none exist. An irrational number between -4 and -3

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Q: Prore the only prime of the form n°-4 is 5.

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Q: If n is an even integer then 7- n3 ) is an odd integer. ) is an even integer. is sometimes even and…

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Q: True or False All prime numbers are even.

A: Given statement is  "All prime numbers are even".

Q: proof by divect proof 米 IF n is an odd integer then n is odd.

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Q: What is the converse of the statement "If n is an even integer, then 5n - 3 is an odd integer."?

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Q: Find the sum of the odd integers between 228 and 60

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Q: 14) You will likely want to have a calculator handy for this question. a) Create several three-digit…

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Q: Difference of two distinct odd prime numbers is even and composite Select one: O True O False

A: Difference of two distinct odd prime numbers is even and composite

Q: Odd numbers between 0 and 48 that are multiples of 5.

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Q: *proof by divect proof If n is an odd integer then no is od

A: Direct proof

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Q: 23. Binet's Formula The following formula is known as Binet's formula for the nth Fibonacci number.…

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Q: True or false? Justify your answer. "There is a prime number n for which (-1)" -1."

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Q: proof by divect proof IE n is an odd integer then nå is odd

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Q: 10 ation: an integer or rational number in the

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Q: 1. Give examples of two prime numbers and two composite numbers? 2. Give an example of a whole…

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Q: Using direct proof method, prove the following. If n is an even integer then n2 + 13 is odd. Answer:

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Q: Using modular arithmetic, what is the reciprocal of 3 in Z10 = {0,1, 2, 3, 4, 5, 6,7, 8, 9}? O a. 0…

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Q: proof by divect proof IE n is an. odd integer then n is odd

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Q: 55. the sum of the first 80 positive integers 56. the sum of the first 120 positive integers

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Q: proof by direct proof If n is an odd integer then na is odd

A: The product of two odd numbers is an odd number.