(Princeton.)
7. A strip of carpet one half inch thick and
feet long is rolled on a roller four inches in diameter. Find how many turns there will be, remembering that each turn increases the diameter by one inch, and that the circumference of a circle equals (approximately)
times the diameter. (Harvard.)
8. The sum of the first three terms of a geometrical progression is 21, and the sum of their squares is 189. What is the first term? (Yale.)
9. Find the geometrical progression whose sum to infinity is 4, and whose second term is
10. Solve