Discrete Mathematics Quiz

Which rule of inference is used in each of these arguments, "If it hails today, the local office will be closed. The local office is not closed today. Thus, it did not hailed today."

• Modus tollens

• Conjunction

• Hypothetical syllogism

• Simplification

Find the value of a4 for the recurrence relation an=2an-1+3, with a0=6.

• 320

• 221

• 141

• 65

The nth term of an arithmetic progression a + (a + d) + (a + 2d) + …. is ______.

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OFF

A …. is a set S with a relation R on it which is reflexive, anti-symmetric, and transitive.

• Equivalent set

• Ordered set

• Implicit set

• Partially ordered set

Calculate the value of 8C5.

• 79

• 43

• 120

• 56

What rule of inference is used here? "It is cloudy and drizzling now. Therefore, it is cloudy now."

• Modus tollens

• Conjunction

• Hypothetical syllogism

• Simplification

What is the recurrence relation for 1, 7, 31, 127, 499?

• bn+1=5bn-1+3

• bn=4bn+7!

• bn=4bn-1+3

• bn=bn-1+1

The nth term of an Geometric progression a * ar * ar2 *…. is ______.

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Which of the following is not an equivalence relation on the set of integers?

• xRy iff x - y is an even integer

• xRy iff x + y is even integer

• xRy iff x = y

• xRy iff x ≤ y

The value of P(n, n-1) is

• n

• n!

• 2n

• 2n!