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Hits: 240 Question An athlete prepares for a race by completing a practice run on each of 11 consecutive days. On each day after the first day, he runs further than he ran on the previous day. The lengths of his 11 practice runs form an arithmetic sequence with first term a km and common difference d km. He […]
Hits: 40 Question A sequence a1, a2, a3, . . . is defined by a1 = 3 an+1 = 3an– 5, n1. a. Find the value of a2 and the value of a3. b. Calculate the value of Solution a. We are given that; an+1 = 3an – 5 a1 = 3 Therefore, we […]
Hits: 444 Question On Alice’s 11th birthday she started to receive an annual allowance. The first annual allowance was £500 and on each following birthday the allowance was increased by £200. a. Show that, immediately after her 12th birthday, the total of the allowances that Alice had received was £1200. b. Find the amount of Alice’s annual allowance […]