Q8. For which positive integer values of n is true?

Q: If all variables in the expression 5/x10y – 4x/xy represent nonnegative real numbers, then which of…

A: Given,          The expression is 5x10y9-4xxy9 .

Q: The following statement is true. V real number x, 3 an integer n such that n > x. For each value of…

A:

Q: Show that if n is any integer, then 3 divides n3 − n

A: To prove:  if n is any integer, then 3 divides n3 − n. Concept used: Here we shall use the identity:…

Q: A supplier of ballpoint pens guarantees a low defective rate.  Sara receives a shipment of 400 pens…

A: Ww hvae to find values of x ..

Q: Which of the following means the same as p-->q? Choose one answer. q is necessary for p? p is…

A: Consider the truth table  p q p→ q T T T T F F F T T F F T p-> q is equivalent to…

Q: Deduce from Q2 that if an integer N can be written as N = x² + ny² , and if a prime number q | N can…

A: We will use standard division algorithms to deduce the given statement.

Q: ) Recall that r > 0 for every positive real number r. Prove that if a and b are positive real…

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Q: For every integer n > 1, 2+4+6+ + 2n = n² + n.

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Q: Which of the follow could be the units digit of 7n where n is a positive integer? Select all…

A: Given that, n is a positive integer.   So n varies from 1 to infinity.....   Now 71 = 7  72 = 49  73…

Q: Which of the following is true? Select one: a. (n+1)= n(n) for any real number b. г(n) = n(n+1) for…

A: The objective of the question is to determine which of the given mathematical statements is true.

Q: Given that a, b, c, d are consecutive positive integers, such that a <b<c<d,which of the following…

A: Consider that a, b, c, d are consecutive positive integers such that a&lt;b&lt;c&lt;d.   Find the…

Q: Identify the expression of a for which the following equation holds for every positive integers n…

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Q: Which of the following expressions is a closed form of the sum of the expression (i + 5), for all…

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Q: N is an integer such that N div 13 = -11 and N is not a multiple of 13. What is IN| div %3D 13? 11…

A: See the solution below.

Q: Let a and b be integers, and let d be a positive common multiple of a and b. Show that the following…

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Q: Show that if n is a positive integer, then n is even if and only if 7n + 4 is even.

A: Given: Show that if n is a positive integer, then n is even if and only if 7n + 4 is even

Q: Click and drag the steps in the correct order to show that if n is a positive integer, then n is…

A: We have to arrange the steps in correct order.