2010 AJC P1 Q11 Part of an isosceles triangle, formed by numbers following a particular pattern is shown below: (i) State the middle term in the $n^{text{th}}$ row. [1] (ii)
2018 YJC P1 Q8 Eden is a new engineer for the Small Rail Transit (SRT) train. His current project is to devise a new schedule for the train to increase
2021 TMJC P1 Q7 A geometric progression has first term $a$ and common ratio $r$, and an arithmetic progression has first term $b$ and common difference $d$, where $a$,$b$,$d$ and
2020 HCI Promo Q10 John’s annual income was $$80000$ in 2009 and he spent all his income in that year. In the next $10$ years, his salary increased by $$5500$
2020 TJC Promo Q12 A bank offers both an ordinary account and a savings account on 1st January 2020 Perlin puts $$100$ into an ordinary account. On the first day
2020 CJC Promo Q9 A sequence ${{u}_{1}}$, ${{u}_{2}}$, ${{u}_{3}}$ … is such that ${{u}_{n+1}}=3{{u}_{n}}+Pn$, where $P$ is a constant and $nin {{mathbb{Z}}^{+}}$. The terms of the sequence are defined by
2020 VJC Promo Q7 An infinite geometric series has first term $a$ and common ratio $r$, where $r>0$. The third term is $36$ and the sum to infinity is $243$
2020 TJC Promo Q1 The sum, ${{S}_{n}}$, of the first $n$ terms of a sequence ${{u}_{1}}$, ${{u}_{2}}$, ${{u}_{3}}$ … is given by ${{S}_{n}}=ln left( n+1 right)$ (i) Find ${{u}_{n}}$ in
2013 PJC P1 Q11 Ms. Tan took up a car loan of $$100000$ from a bank in the beginning of a year and she was offered the following bank loan
2010 MJC P1 Q7 (a) A geometric progression has first term $a$ and common ratio $-frac{1}{2}$. The first two terms of the geometric progression are the first and fourth terms
