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Hits: 570 Question Xin has been given a 14 day training schedule by her coach. Xin will run for A minutes on day 1, where A is a constant. She will then increase her running time by (d + 1) minutes each day, where d is a constant. a. Show that on day 14, Xin will run […]
Hits: 28 Question A sequence is defined by , for Where is a constant. a) Find an expression for in terms of k. Given that , b) Find the value of k. Solution a) We are given that sequence is defined by We are required to find . We can utilize the given expression for general terms beyond […]
Hits: 85 Question In the year 2000 a shop sold 150 computers. Each year the shop sold 10 more computers than the year before, so that the shop sold 160 computers in 2001, 170 computers in 2002, and so on forming an arithmetic sequence. a. Show that the shop sold 220 computers in 2007. b. Calculate the total […]
Hits: 32 Question A sequence of numbers is defined by , for Given that , .a) Find the value of . b) Find the value . Solution a. We are given that sequence is defined by We are required to find when . We can utilize the given expression for general terms beyond first term as; We are given that […]
Hits: 320 Question Shelim starts his new job on a salary of £14 000. He will receive a rise of £1500 a year for each full year that he works, so that he will have a salary of £15 500 in year 2, a salary of £17 000 in year 3 and so on. When Shelim’s salary reaches […]
Hits: 33 Question Given that for all positive integers n, a) find the value of b) Find the value of Solution a. We are given that; We are required to find . Therefore, we substitute n=5; b. We are required to find . We can find as follows; Therefore ;