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Magazine Problem 4
Tell whether each of the following statements is true or false. If a quadrilateral is equiangular, it must be regular.
Problem 4
Consider the sequence \(\frac{1}{1}, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \dots\) What number do you think is the limit of this sequence?
Problem 5
Tell whether each of the following statements is true or false. If a quadrilateral is equiangular, it must be cyclic.
Problem 5
The following description from the Bible of a circular pool in Solomon's temple suggests a very simple approximation of \(\pi\). "Also he made a molten sea of ten cubits from brim to brim \(\ldots\) and a line of thirty cubits did compass it round about." What was the circumference of this pool?
Problem 5
Consider the sequence \(3,6,9,12,15, \ldots\) What is the sixth term of this sequence?
Problem 6
The following description from the Bible of a circular pool in Solomon's temple suggests a very simple approximation of \(\pi\). "Also he made a molten sea of ten cubits from brim to brim \(\ldots\) and a line of thirty cubits did compass it round about." What was its diameter? (GRAPH CANT COPY)
Problem 6
Consider the sequence \(3,6,9,12,15, \ldots\) What is the \(n\) th term of this sequence?
Problem 6
Tell whether each of the following statements is true or false. If a polygon is regular, it must be convex.
Problem 7
Consider the sequence \(3,6,9,12,15, \ldots\) As \(n\) gets larger and larger, what happens to the terms of this sequence?
Problem 7
The following description from the Bible of a circular pool in Solomon's temple suggests a very simple approximation of \(\pi\). "Also he made a molten sea of ten cubits from brim to brim \(\ldots\) and a line of thirty cubits did compass it round about." What was its radius? (GRAPH CANT COPY)
