Home CJC APGP Tutorial Q5 Given that the geometric series $1+{{text{e}}^{-x}}+{{text{e}}^{-2x}}+…$has a sum to infinity, show that $x>0$. When $x=10$, write down the expressions for ${{S}_{n}}$, the sum to $n$
Home CJC APGP Tutorial Q4 (a) An arithmetic series has first term $1000$ and common difference $-1.4$ negative terms of the series. Find the sum of the first $20$ negative
2022 HCI J1 BT Q11 On $31$st December $2021$, Mei Qian bought a house and took a housing loan of $$500text{}000$ from a bank that charges interest at $1.8%$ per
Home 2022 EJC J1 MYE Q10 In a particular video animation, an animal $X$ chases other animals. All animals only move in leaps in a straight line. You may assume
Home 2022 HCI J1 BT Q5 (a) A non-zero sequence ${{{u}_{n}}}$ where $nge 1$ and ${{u}_{i}}ne {{u}_{j}}$ when $ine j$ is such that $frac{1}{{{u}_{n+1}}-{{u}_{n}}}$, $frac{1}{2{{u}_{n+1}}}$, $frac{1}{{{u}_{n+1}}-{{u}_{n+2}}}$ are consecutive terms of
2022 CJC J1 MYE P1 Q2 An artihmetic series has first term $a$ and common difference $4369a$, where $ane 0$. A geometric series has first term $a$ and common ratio
These Ten-Year-Series (TYS) worked solutions with video explanations for 2009 A Level H2 Mathematics Paper 1 Question 8 are suggested by Mr Gan. For any comments or suggestions please contact
2022 SAJC Promo Q10 Starting from the coordinates $left( 0,8 right)$, a particle $P$ moves in the positive $x$-direction and then in the negative $y$-direction alternatively (see Fig. 1). Hence,
2021 SAJC Revision Package Q2 The sum of the first $n$ terms of a series, ${{S}_{n}}$, is given by $frac{{{a}^{n}}}{{{2}^{n-1}}}-2$, where $a$ is a non-zero constant and $ane 2$. (i)
2009 PJC CT Q10 (a) $1$, $a$ and $b$ are three consecutive terms of a convergent geometric progression. It is given that $a$, $b$ and $2$ are also three consecutive
