<p>Consider the infinite geometric series \(405 + 270 + 180 + \dots\) .<span class="inline-marks">[6]</span></p>
<ol class="abc-list"><li><div class="list-item-paragraph">For this series, find the common ratio, giving your answer as a fraction in its simplest form.</div></li><li><div class="list-item-paragraph">Find the fifteenth term of this series.</div></li><li><div class="list-item-paragraph">Find the <strong>exact</strong> value of the sum of the infinite series.</div></li></ol>

Consider the infinite geometric series \(405 + 270 + 180 + \dots\) .

For this series, find the common ratio, giving your answer as a fraction in its simplest form.

Find the **exact** value of the sum of the infinite series.

Geometric Progression

Sequence and Series

International Baccalaureate Mathematics: Applications and Interpretation Standard Level

Sequence and Series - Geometric Progression

Sequence and Series - Geometric Progression