The formula for the nth term of an arithmetic sequence is:
where a is the first term and d is the common difference.
Plugging the given values into the formula, we get:
The answer is b. 98.
Answer: The only one of these that's an integer is 9.
Explanation: Let X be the integer. Then
X - 3/X = 26/3. Multiplying by 3X on both sides:
3X^2 - 9 = 26X
3X^2 - 26X - 9 = 0
X = (26 +/- SQRT(26^2-(4*(-27))))/6 = (26 +/- 28) / 6,
so the two solutions for X are 1/3 and 54/6 = 9.
Answer:
c. modus ponens
Explanation:
In propositional logic, we learn that <em>modus ponens</em> is a valid argument and a rule of inference. <em>Modus ponens</em> states that "P implies Q, and if P is true, then Q must be true."
Based on these propositions, we learn that all food that is healthy does not taste good, and tofu is healthy. Therefore,
<em>If all food that is healthy does not taste good,</em>
<em>and tofu is healthy to eat,</em>
<em>then tofu does not taste good.</em>