APGP

2009 NYJC P1 Q9 (a) In a convergent geometric progression, the sum of the first $n$ terms is equal to the sum of the remaining terms. Given also that the

2013 AJC Promo Q12 Mary has a monthly income of $$4000$. She is considering applying for a car loan of $$40,000$ for $6$ years which charges an interest rate of

2021 CJC Promo Q8 (i) The arithmetic progression is grouped into sets of integers, such that the ${{n}^{text{th}}}$ set contains $n$ integers as shown. $left{ 1 right},left{ 3,5 right},left{ 7,9,11

2021 RI Promo Q7 (a) An arithmetic sequence ${{a}_{1}},{{a}_{2}},{{a}_{3}},…$ has common difference $d$, where $d<0$.The sum of the first $n$ terms of the sequence is denoted by ${{S}_{n}}$. Given that

2021 HCI Promo Q6 The sum of the first $n$ terms of a series is given by the expression ${{text{e}}^{2}}-{{left( -2 right)}^{n}}left( {{text{e}}^{2-n}} right)$. (i) State the first term of

2017 NYJC Promo Q12 Two athletes signed up for the $13$ km Nanyang Marathon. In preparation for this marathon, the athletes planned a $16$-day personalised training programme as follows: Athlete

2017 RI Promo Q3 (a) A piece of paper in the form of a semi-circle of radius $r$ is cut into twelve sectors such that the areas are in arithmetic

2020 EJC P2 Q5 On 1 Jan 2019, Emma takes up a study loan of $$,text{30000}$ from a bank that offers two repayment plans. Plan A charges a monthly instalment

2021 DHS P1 Q10 Mr Safe takes up a bank loan of $$M$ for an investment plan. The loan amount compounds at an annual interest rate of $100r%$, where $0<r<1$.

2009 DHS P1 Q9 (b) The arithmetic progression $2$, $4$, $6$, $8$, $10$, $12$, … is arranged in rows in the following way: (i) Show that the first term in