Hits: 67
Hits: 67 Question A boy saves some money over a period of 60 weeks. He saves 10p in week 1, 15p in week 2, 20p in week 3 and so on until week 60. His weekly savings form an arithmetic sequence. a. Find how much he saves in week 15 b. Calculate the total amount he […]
Hits: 14 Question A sequence of numbers is defined by , Where is a constant. a) Write down an expression, in terms of c, for . b) Show that Given that c) Find a range of values of c. Solution a) We are given that sequence is defined by We are required to find . We […]
Hits: 92 Question A company offers two salary schemes for a 10-year period, Year 1 to Year 10 inclusive. Scheme 1: Salary in Year 1 is £P. Salary increases by £(2T) each year, forming an arithmetic sequence. Scheme 2: Salary in Year 1 is £(P+1800). Salary increases by £T each year, forming an arithmetic sequence. a. Show that the total […]
Hits: 14 Question A sequence is defined by , Where is a positive integer. a) Write down an expression for in terms of a. b) Show that Given that c) Find the possible values of a. Solution a) We are given that sequence is defined by We are required to find . We can utilize the […]