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Hits: 224 Question Sue is training for a marathon. Her training includes a run every Saturday starting with a run of 5 km on the first Saturday. Each Saturday she increases the length of her run from the previous Saturday by 2 km. a. Show that on the 4th Saturday of training she runs 11 km. b. […]
Hits: 51 Question A sequence x1, x2, x3, …. ……. is given by: x1=1, xn+1=axn – 3, n≥1, where a is a constant. a. Find an expression for x2 in terms of a. b. Show that x3=a2 – 3a – 3. Given that x3=7, c. find the possible values of a. Solution a. We are given […]
Hits: 229 Question The first term of an arithmetic sequence is 30 and the common difference is –1.5. a. Find the value of the 25th term. The rth term of the sequence is 0. b. Find the value of r. The sum of the first n terms of the sequence is Sn. c. Find the largest positive […]
Hits: 18 Question A sequence is given by: x1=1, xn+1=xn(p+ xn), where p is a constant (p≠0) . a. Find x2 in terms of p. b. Show that x3=1+3p+2p2. Given that x3=1, c. find the value of p, d. (d) write down the value of x2008 . Solution a. We are given the sequence […]