11.3-11.4 Written Practice 1. A sequence can be both arithmetic and geometric. Give an example, and tell why it meets both sets of requirements. 2. Which of the following choices, A or B, results in more money? How much more? A. to receive $1000 on day 1, $999 on day 2, $998 on day 3, with the process to end after 1000 days, or B. to receive $1 on day 1, $2 on day 2, $4 on day 3, and so on for 19 days. 3. You havejust signed a 1-year professional mathematician contract with a beginning salary of $2,000,000 per year. Management gives you the following options with regard to your salary over the life of the contract: A. a bonus of $100,000 each year. B. an annual increase of 4.5% per year beginning after 1 year. C. an annual increase of $95,000 per year beginning after 1 year. Find the value of each contract. Which option provided the most money over the 1-year period? Which provides the least? 4. Suppose you were offered a job in which you would work 8 hours per day, 5 days a week, for 1 month on a farm, digging ditches, shoveling manure, bathing the pigs, etc. Your pay the first day would be 1 penny, with 2 pennies the second day, and the third day 4 pennies (i.e., it would double on each successive workday). There are 22 work days in the monthno sick days, and if you miss a day, there is no pay or pay increase. How much would you get paid if you work all 22 days? How much do you get for the 22\"L1 clay