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029799fd-8168-463f-80c3-f0f6156d47b9.html
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<h4>Warm Up Activity</h4>
<p>Recall that:</p>
<p>An <span class="os-raise-ib-tooltip" data-schema-version="1.0" data-store="glossary-tooltip">arithmetic sequence</span> is a sequence in which each term is the previous term plus a constant.</p>
<p>A <span class="os-raise-ib-tooltip" data-schema-version="1.0" data-store="glossary-tooltip">geometric sequence</span> is a sequence in which each term is a constant times the previous term.</p>
<p>Use the first 5 terms of each sequence to state if the sequence is arithmetic, geometric, or neither.</p>
<ol class="os-raise-noindent" type="A">
<li>
30, 40, 50, 60, 70, . . .
</li>
<li>
80, 40, 20, 10, 5, 2.5, . . .
</li>
<li>
1, 2, 4, 8, 16, 32, . . .
</li>
<li>
1, \(\frac12\), \(\frac14\), \(\frac18\), \(\frac{1}{16}\), . . .
</li>
<li>
20, 13, 6, –1, –8, . . .
</li>
<li>
1, 3, 7, 15, 31, . . .
</li>
</ol>
<br>
<br>
<!--Text Entry Interaction Start -->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="f659ac02-6740-40cd-8442-2e395c18ff76" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="1" type="A">
<li> 30, 40, 50, 60, 70, . . .</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>Arithmetic</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Text Entry Interaction Start -->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="bdc08e15-18bd-4a6e-854a-bfb5981467ab" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="2" type="A">
<li> 80, 40, 20, 10, 5, 2.5, . . .</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p> Geometric</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Text Entry Interaction Start -->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="56d86eeb-431c-4592-889a-2e3ff5998e17" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="3" type="A">
<li> 1, 2, 4, 8, 16, 32, . . .</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p> Geometric</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Text Entry Interaction Start -->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="9f7a629f-f5a8-43ca-bffd-9b77638d435e" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="4" type="A">
<li> 1, \(\frac12\), \(\frac14\), \(\frac18\), \(\frac{1}{16}\), . . .</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p> Geometric</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Text Entry Interaction Start -->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="4485f5d8-89c3-48df-8179-33df04bd24b9" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="5" type="A">
<li> 20, 13, 6, –1, –8, . . .</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>Arithmetic</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Text Entry Interaction Start -->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="eb071d29-14a6-4909-b8be-a271c8c121f3" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="6" type="A">
<li> 1, 3, 7, 15, 31, . . .</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>Neither</p>
</div>
</div>
<!--Interaction End -->