2015 NYJC P1 Q9 (a) A geometric sequence ${{x}_{1}}$, ${{x}_{2}}$, ${{x}_{3}}$, … has first term $a$ and common ratio $r$, where $a>0$, $r>0$. The sequence of numbers ${{y}_{1}}$, ${{y}_{2}}$, ${{y}_{3}}$,
2016 NJC P2 Q1 (a) Kenny took a loan of $$9600$ from a friend, and arranged to pay his loan fully in a period of exactly $48$ months. To fulfil
2020 RVHS P1 Q10 Sales agent $A$ started work on 1st June 2020. He plans to acquire $2$ clients in his first month of work and thereafter increase his clientele
2018 SAJC P1 Q10 Albert and Betty each took a study loan of $$100,000$ from a bank on 1 January 2014 and both graduated on 31 December 2017. The bank
2023 DHS Promo Q7 (a) It is given that $sumlimits_{r=1}^{n}{{{r}^{2}}=frac{1}{6}nleft( n+1 right)left( 2n+1 right)}$. (i) Find $sumlimits_{r=1}^{n}{left( {{2}^{r+1}}+3r-{{r}^{2}} right)}$ in the form $Aleft( {{2}^{n}}-1 right)+text{f}left( n right)$, where $A$ is
2011 NJC Q5 [Modified] A university student has a goal of saving at least $$1 000 000$ (in Singapore dollars). He begins working at the start of the year 2019.
2023 NYJC MYE P1 The series $a+ar-a{{r}^{2}}-a{{r}^{3}}+a{{r}^{4}}+a{{r}^{5}}-a{{r}^{6}}-a{{r}^{7}}+$…, where $a>0$, has its $k$th term, ${{T}_{k}}$, defined by ${{T}_{k}}=left{ begin{matrix}a{{r}^{k-1}}, \-a{{r}^{k-1}}, \end{matrix} right.$ $begin{matrix}text{if},k=4p-3,,text{or},,4p-2 \text{if},k=4p-1,,text{or},,4p,,,,,,, \end{matrix}$, for $pin {{mathbb{Z}}^{+}}$, (a) By rewriting
2013 RI P1 Q9 Mr Tan decides to set up a scholarship fund for worthy students. On 1 January 2013, he places this scholarship fund in a bank investment which
These Ten-Year-Series (TYS) worked solutions with video explanations for 2004 A Level H2 Mathematics Paper 1 Question 9 are suggested by Mr Gan. For any comments or suggestions please contact
2021 ACJC Promo Q12 Mrs Tan plans to start a business which requires a start-up capital of $$700,000$. She decided to first save $$200,000$ by depositing money every month into
