Additional Mathematics 4037: Series Topical Past Paper Questions

An arithmetic progression has first term $t$ and common difference 1.5. The 4th, 8th and 20th terms of this arithmetic progression form the 1st, 2nd and 3rd terms of a geometric progression. (a) Find the value of $t$. (b) Find the common ratio of the geometric progression.

(a) Suzma is training for a marathon. In the first week she runs 10km. Then each week she runs a distance that is 10% greater than the week before. The total distance that Suzma has run by the end of $n$ whole weeks is more than 200km. Find the smallest possible value of $n$. [4]…

(a) In an arithmetic progression the 5th term is 11. The 7th term is three times the 2nd term. Find the 1st term and the common difference. (b) A different arithmetic progression (AP) and a geometric progression (GP) have the following properties. The $ 1^{st} $ term of the AP an…