Logic and Reasoning Answers

Juan examines the sequence 1, 3, 4, 7, 11, . . . and draws the conclusion that the next number in the sequence is 18. Which statements regarding the situation are accurate? Check all that apply.Juan used inductive reasoning.Juan's conclusion is a conjecture.Juan's conclusion is not possible.Juan's conclusion is a counterexample. Juan based his conclusion on patterns.

Analyze the logical statements to fill in the missing information.

line is horizontal✔ has a slope of 0line is 0

If a line is vertical, then it is vertical. ✔ If a line is vertical, then it has an undefined slope. If a line has an undefined slope, then it is a vertical line.

✔ line is verticalX has undefined slopevertical line is undefined

line is vertical✔ has undefined slopevertical line is undefined

Which is a counterexample for the following statement?The sum of two numbers is smaller than the product of the same numbers.

Which statements are true? Check all that apply.

Based on the law of syllogism, which conclusion can be drawn from the true conditional statements below?If a number is a whole number, then it is an integer.If a number is an integer, then it is a rational number.

How can the statement below be rewritten as a conditional statement in if-then form?Two angles with angle measures that add up to 180 degrees form a linear pair.

Analyze the logical statements to fill in the missing information.