1. Stocks of a company are initially issued at the price of 10 $. The value of the stock grows by 25 % every year. Show that the value of a stock follows a geometric sequence. a. Write a recursive formula that better describe that situation. b. Calculate the value of the stock ten years after the initial public offering. 2. Find the explicit equation of a geometric sequence such that u_3=18, and u_5=162. 3. Find the explicit equation of the arithmetic sequence such that u_1=3, and u_10=39.