<p>Consider the infinite geometric sequence \(3, 3(0.9), 3(0.9)^2, 3(0.9)^3, \dots\) .</p>
<ol class="abc-list"><li><div class="list-item-paragraph">Write down the \(10^{th}\) term of the sequence. Do not simplify your answer.<span class="inline-marks">[1]</span></div></li><li><div class="list-item-paragraph">Find the sum of the infinite sequence.<span class="inline-marks">[4]</span></div></li></ol>

Consider the infinite geometric sequence \(3, 3(0.9), 3(0.9)^2, 3(0.9)^3, \dots\) .

Write down the \(10^{th}\) term of the sequence. Do not simplify your answer.

APGP

International Baccalaureate Standard Level Mathematics