1. K4] Determine the indicated term for each sequence. a) 19 5 11 12' 4 12 , .. find ts (arithmetic) b) t, = -3, t, = -5t,_, + 6 find t. 2. K4] For a geometric sequence t4 = -12 and to = 12 288. Determine an expression for t. .3. K4] An arithmetic sequence is 10, 8, 6, ..., -350. Determine the number of terms in the sequence AND determine the sum of the corresponding series. 4. K3] Amrita wants to have $50 000 to use as a down payment for a house in 5 years. She was given a bonus at work and would like to know how much must she invest today (one time) at 4.5% per year compounded semi-annually to meet her goal?5. A3] A new wood stain loses 7.2% of its colour every year in a city that experiences a lot of hot, sunny days. What percent of colour will a fence in this city have 10 years after being stained. (Sequence or Series)6. A4] Dwayne invests $36 375.13 today to save for a car he will buy in 4 years. His investment earns interest at a rate of 3.6% per year, compounded monthly. a. Determine how much Dwayne will have to spend on his car in 4 years. b. How much interest will he earn on his investment? 7. A4] Suki just purchased a new car. Her monthly payment is $450 per month and was finance at 1.8% per year, compounded monthly for 6 years. How much was the original price of the car if she did not have a down payment?8. A4] Latisha decides to make regular deposits every two weeks (26 times per year) into an account that earns 5.2% per year, compounded bi-weekly. She hopes to have $45 000 at the end of 5 years. Determine the amount of the regular deposit that she will need to make.9. A new golf course has 450 lifetime members 3 weeks after it opens and 1050 lifetime members 7 weeks after it opens. Assume the increase in membership is arithmetic. a) Determine a formula for the general term. b) How many members will there at the end of the 10th week? c) When will there be over 2000 members if we assume the growth will continue? 10. Kevon wants to save for his retirement at age 65. If he invests $690.26 every month into an account pays 4.8% per year, compounded monthly and he starts the investment at age 25, a) How much money will he have when he retires?a) How much money will ne nave when ne retires? b) If Kevon takes the investment (the money he saved) and invests it into an annuity that pays 5.8% per year compounded monthly, how much can he withdraw every month for the next 25 years