A sequence is such that ${{u}_{1}}=p$, where $p$ is a constant, and ${{u}_{n+1}}=2{{u}_{n}}-5$, for

Question

A sequence is such that ${{u}_{1}}=p$, where $p$ is a constant, and ${{u}_{n+1}}=2{{u}_{n}}-5$, for $n > 0$. Describe how the sequence behaves when $p=7$, [1] $p=5$. [1] Find the value of $p$ for which ${{u}_{5}}=101$. [2]

Accepted Answer

(i)(a) Strictly increasing and divergent to $+\infty$ (i)(b) Constant at $5$ (ii) $p=11$

RI Sequences and Series Tutorial 7A Q2

RI Sequences and Series Tutorial 7A Q2

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