1. Calculate d for the arithmetic sequence -4, , 8. (2 marks) 2. Find the general term of the arithmetic sequence 13, 9, 5, ... (2 marks)3. If the 6th term of an arithmetic sequence is 31 and the 20th term is -67, find the first three terms of the sequence. (3 marks) 4. Given the arithmetic sequence below, find x and the three terms. (3 marks) 2x+1, 3x+4, 8x-15. Elmer wants to grow Blue Spruce trees to eventually sell as Christmas trees. He plants 25 trees the rst year, and then increases the number of trees he plants each year by 15. a. In which year will Elmer plant 220 trees? (2 marks) b. How trees will Elmer have planted in total after 10 years? (2 marks) 6. Calculate the number of terms in the series below. (2 marks) l++2+N+Q=315 2 2 2 2 7. Find the rst term of the arithmetic series given 5'21 = 672 and d = 4. (2 marks) 8. The \"Math is Awesome\" Foundation wants to award a million dollars in scholarship money to high school math students across Alberta. The plan is to give away $1000 in the rst week, $2000 in the second week, $3000 in the third week, and so on, until the Foundation can no longer give out a full scholarship amount. How many weeks will it take until the \"Math is Awesome\" Foundation's bank balance is too low to give out a full scholarship? (3 marks) 9. Given the sequence 4, 4v2, 8,... find the: (4 marks) a. common ratio b. next two terms c. general term 10. Find the number of terms in the sequence ~, 1, 3, ... 81 by writing both sides of the general term equation with a common base. (2 marks) 11. For a geometric sequence, if t, = 28 and to = 1344, find r. Record your answer as a simplified radical. (3 marks)12. Ava received a helium lled balloon the morning of her birthday. The balloon contained 29 000 cm3 of helium when she received it. By the end of each day, Ava's balloon loses 10% of its helium. What is the volume of helium left in Ava's balloon at the end of the 6th day after she received the balloon? Round your answer to the nearest c1123 . (2 marks) 13. Find the sum of each series. If necessary, round to the nearest tenth. (4 marks 2 marks each) a. 13+9...243 b. 72+3618+... (rsts terms) 14. Leah set a personal goal to walk 10 000 km in four years. If Leah increased the number of kilometres she walked per week by 3% every week, how far did she walk in the rst week? Round your answer to the nearest metre. (3 marks) 15. If the sum of an infinite series is 130 and the common ratio is 3 find t, and the first three terms of the series. Round your answers to the nearest tenth if necessary. (3 marks) 16. Find the sum of each series. If necessary, round to the nearest tenth. (6 marks - 2 marks each) a. 1-3+9-...-243 b. -72+36-18+... (first 8 terms) c. 6.1+1.22+0.244+0.0488+ ...\f