Sequence and series

2022 NYJC Promo Q10

2022 NYJC Promo Q10 On 1 January 2021, Mr A takes a housing loan of $$300,000$ from a bank.On the same day, Mr A repays the bank $$x$, and on

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2022 RI Promo Q12

2022 RI Promo Q12 On 1 Jan 2023, Sam takes an interest-free study loan of $$28,000$ from his parents for his university fees. He starts to repay $$m$ to his

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2021 DHS Promo Q4

2021 DHS Promo Q4 The first three terms of an infinite series are $16,x,9$. (i) Find the value(s) of $x$, if the series is (a) geometric, (b) arithmetic. [3] (ii)

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2022 VJC Promo Q11

2022 VJC Promo Q11 In a laboratory experiment, a tank is transported to and fro between station $A$ and station $B$. On the ${{1}^{text{st}}}$ visit to station $A$, $200$ ml

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ASRJC APGP Tutorial Q2

ASRJC APGP Tutorial Q2 A geometric series, $G$, has common ratio $r$, $rne 1$, and an arithmetic series, $A$, has a non-zero first term $a$. The first three terms of

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2020 EJC P1 Q7

2020 EJC P1 Q7 The sum, ${{S}_{n}}$, of the first $n$ terms of a sequence ${{u}_{1}}$, ${{u}_{2}}$, ${{u}_{3}}$, … is given by ${{S}_{n}}=aleft( {{3}^{n}} right)+bn+c$, where $a$, $b$ and $c$

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2022 RI P1 Q6

2022 RI P1 Q6 (a) A sequence is such that ${{u}_{1}}=p$, where $p$ is a constant, and ${{u}_{n+1}}=frac{4}{{{u}_{n}}}$, for $n>0$. Describe how the sequence behaves when (i) $p=2$, [1] (ii)

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2022 YIJC P1 Q10

2022 YIJC P1 Q10 Alan and Betty bought an apartment at $$450 000$. They are eligible to take a housing loan, up to $85%$ of the cost of the apartment,

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2022 TMJC P1 Q11

2022 TMJC P1 Q11 Mrs Toh intends to invest $$1000$ per year in a savings plan, starting from 1 January 2023. Savings plan $A$ allows her to invest a fixed

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2022 RI P2 Q4

2022 RI P2 Q4 (a) The first $3$ terms of a geometric progression are $a$, $b$, $2$ and the first $3$ terms of an arithmetic progression are $2$, $a$, $b$,

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