··· be an A. P., find the 97th term. If a G. P., find the sum to infinity.
11. The third term of a geometrical progression is 36; the 6th term is 972. Find the first and second terms.
12. Insert between 6 and 16 two numbers, such that the first three of the four shall be in arithmetical progression, and the last three in geometrical progression.
13. A rubber ball falls from a height of 40 inches and on each rebound rises 40% of the previous height. Find by formula how far it falls on its eighth descent. (Yale.)
Reference: The chapter on Geometrical Progression in any algebra.
THE BINOMIAL THEOREM
1. Review the Binomial Theorem laws. (See Involution.)