A Suppose 13-year and 17-year cicadas both appear this year. When will both
types of cicadas next appear together? Explain.
B. Suppose there are 12-year, 14-year, and 16-year cicadas that all appear this
year. After how many years will all three types of cicadas appear together
again? Explain.
C. Stephan developed a method to determine the next time two types of
cicadas will appear together. He says that if you multiply the cycles together,
you get the next time that both types will appear together. Does Stephan's
method work for any pair of cycles? If so, explain why. If not, provide an
example for which Stephan's method does not work.
D For Questions A and B, decide whether the answer is less than, greater than,
or equal to the product of the cicada cycles.