<p>A sequence is such that ${{u}_{1}}=p$, where $p$ is a constant, and ${{u}_{n+1}}=2{{u}_{n}}-5$, for $n > 0$.</p>
<ol class="i-list"><li><div class="list-item-paragraph">Describe how the sequence behaves when</div><ol class="abc-list"><li><div class="list-item-paragraph">$p=7$,</div><p style="text-align: right;">[1]</p></li><li><div class="list-item-paragraph">$p=5$.</div><p style="text-align: right;">[1]</p></li></ol></li><li><div class="list-item-paragraph">Find the value of $p$ for which ${{u}_{5}}=101$.</div><p style="text-align: right;">[2]</p></li></ol>

A sequence is such that ${{u}_{1}}=p$, where $p$ is a constant, and ${{u}_{n+1}}=2{{u}_{n}}-5$, for $n > 0$.

Find the value of $p$ for which ${{u}_{5}}=101$.

Recurrence Relations and Summation

H2 Math

International Baccalaureate Higher Level Mathematics

RI Sequences and Series Tutorial 7A Q2

RI Sequences and Series Tutorial 7A Q2

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