Question a. Calculate the sum of all the even numbers from 2 to 100 inclusive, 2 + 4 + 6 + …… + 100 b. In the arithmetic series k + 2k + 3k + …… + 100 k is a positive integer and k is a factor of 100. i. Find, in terms of k, an expression […]
Question A sequence is defined by , Where is a positive integer. a) Write down an expression for in terms of k. b) Show that c) i. Find in terms of k, I its simplest form. ii. Show that is divisible by 6. Solution a) We are given that sequence is defined by We are required to […]
Question An arithmetic sequence has first term a and common difference d. The sum of the first 10 terms of the sequence is 162. a. Show that 10a + 45d =162 Given also that the sixth term of the sequence is 17, b. write down a second equation in a and d, c. find the value of a and the value […]
Question A sequence is defined by Where is a constant. a) Find an expression for in terms of c. Given that , b) Find the value of c. 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 first term as; b) […]