<p>An arithmetic sequence \(u_1, u_2, u_3, \dots\) has&nbsp;\(u_1 = 1\) and common difference \(d \neq 0\).</p>
<p>Given that&nbsp;\(u_2, u_3\) and \(u_6\) are the first three terms of a geometric sequence,</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">find the value of \(d\).</span></div></li></ol>
<p>Given that&nbsp;\(u_N = -15\)</p>
<ol class="abc-list" start="2"><li><div class="list-item-content"><span class="list-item-text">determine the value of \(\sum_{r=1}^{N} u_r\).</span></div></li></ol>

An arithmetic sequence \(u_1, u_2, u_3, \dots\) has \(u_1 = 1\) and common difference \(d \neq 0\).

Given that \(u_2, u_3\) and \(u_6\) are the first three terms of a geometric sequence,

determine the value of \(\sum_{r=1}^{N} u_r\).

Geometric Progression

APGP

International Baccalaureate Higher Level Mathematics

AP, GP and Sigma-notation

AP, GP and Sigma-notation