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Semmy [17]
3 years ago
12

Discrete MathematicsReading Worksheet 2.3Answerall questions on another sheet of paper. You do not need to print out or recopy t

he questions.Please skip lines and write legibly.1.a) In the following argument form, which are the premises?b) What is the conclusion?c) Construct a truth table for the premises and the conclusion. (1)푝→푞(2)푞→푟(3)∴푝→푟2.What do we call an argument form that consists of two premises and a conclusion?3.Look at the table of valid argument forms (also calledrules of inference) a)What is the name of the argumentform can be considered as reasoning from the contrapositive?b)If assuming that the negation of a statement leads to a contradiction, what can weconclude?c)What is the conclusion you can draw from the premises (푝˅푞)and ~푞?4.Explain the difference between a valid argument and a sound argument.5.It ispossible to make a valid argument with a false premise and a false conclusion. Look at the example given in the textbook. Create your own exampl
Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Answer:or the premises and the conclusion. (1)푝→푞(2)푞→푟(3)∴푝→푟2.What do we call an argument form that consists of two premises and a conclusion?3.Look at the table of valid argument forms (also calledrules of inference) a)What is the name of the argumentform can be considered as reasoning from the contrapositive?b)If assuming that the negation of a statement leads to a contradiction, what can weconclude?c)What is the conclusion you can draw from the premises (푝˅푞)and ~푞?4.Explain the difference between a valid argument and a sound argument.5.It ispossible to make a valid argument with a false premise and a false conclusion. Look at the example given in the

Step-by-step explanation:

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What is the sum of the geometric series in which a1 = 4, r = 3, and an = 324?
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\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
a_n=324
\end{cases}
\implies 
324=4(3)^{n-1}
\\\\\\
\cfrac{324}{4}=3^{n-1}\implies 81=3^{n-1}\implies 3^4=3^{n-1}\implies 4=n-1
\\\\\\
\boxed{5=n}\\\\

\bf -------------------------------\\\\
\qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
n=5
\end{cases}
\\\\\\
S_5=4\left( \cfrac{1-3^5}{1-3} \right)\implies S_5=4\left(\cfrac{1-243}{-2}  \right)

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1/3 as a percent? Djdjenkeoqkehrwklwjrhr
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Answer:

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Step-by-step explanation:

1/3 has a continuous decimal form of .333333...

So, it is usually rounded to .33

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