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7826d6a6-57d6-4fa9-8c50-8931aa639a89.html
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<p><strong><em>Students will complete the following questions to practice the skills they have learned in this lesson.</em></strong></p>
<ol class="os-raise-noindent">
<li>
Here are the first two terms of some different arithmetic sequences. What is the 5th term of each sequence?</li>
</ol>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" type="a">
<li>–2, 4
</li>
</ol>
</ol>
<p><strong>Answer:</strong> 22</p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li>11, 111
</li>
</ol>
</ol>
<p><strong>Answer:</strong> 411</p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="3" type="a">
<li>5, 7.5
</li>
</ol>
</ol>
<p><strong>Answer:</strong> 15</p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="4" type="a">
<li>5, –4
</li>
</ol>
</ol>
<p><strong>Answer: </strong>–31</p>
<ol class="os-raise-noindent" start="2">
<li>
For each sequence, decide whether it could be arithmetic, geometric, or neither.
</li>
<ol class="os-raise-noindent" type="a">
<li>
200, 40, 8, . . .
</li>
</ol>
</ol>
<p><strong>Answer:</strong> geometric</p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li>
2, 4, 16, . . .
</li>
</ol>
</ol>
<p><strong>Answer:</strong> neither</p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="3" type="a">
<li>
10, 20, 30, . . .
</li>
</ol>
</ol>
<p><strong>Answer:</strong> arithmetic</p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="4" type="a">
<li>
100, 20, 4, . . .
</li>
</ol>
</ol>
<p><strong>Answer:</strong> geometric</p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="5" type="a">
<li>
6, 12, 18, . . .
</li>
</ol>
</ol>
<p><strong>Answer: </strong>arithmetic</p>
<ol class="os-raise-noindent" start="3">
<li>
Complete each arithmetic sequence with its missing terms in your math notebook. Then, state the common difference for each sequence. Enter the common difference as integers only.</li>
</ol>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" type="a">
<li>What is the common difference for the arthmetic sequence: –3, –2, ___, ___, 1
<br>
</li>
</ol>
</ol>
<p><strong>Answer: </strong> 1; The missing terms are 1, 0.</p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li>What is the common difference for the arthmetic sequence:
___, 13, 25, ___, ___
<br>
</li>
</ol>
</ol>
<p><strong>Answer:</strong> 12; The sequence should be 1, 13, 25, 37, 49.</p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="3" type="a">
<li>What is the common difference for the arthmetic sequence:
1, 0.25, ___, –1.25, ___
<br>
</li>
</ol>
</ol>
<p><strong>Answer: </strong>–0.75; The sequence is 1, 0.25, –0.5, –1.25, –2.</p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="4" type="a">
<li>What is the common difference for the arthmetic sequence:
92, ___, ___ ,___, 80
<br>
</li>
</ol>
</ol>
<p><strong>Answer: </strong>–3; The sequence is 92, 89, 86, 83, 80.</p>
<ol class="os-raise-noindent" start="5">
<li>
Complete each arithmetic sequence with the missing terms. Then find the common difference for each. Enter the common difference as integers only.
</li>
</ol>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" type="a">
<li>
___, 6, 10, ___, 18
<br>
</li>
</ol>
</ol>
<p><strong>Answer:</strong> 4; The sequence is 2, 6, 10, 14, 18.
</p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li>–1, ___, –11, –16, ___
<br>
</li>
</ol>
</ol>
<p><strong>Answer: </strong>–5; The sequence is –1, –6, –11, –16, –21.
</p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="3" type="a">
<li>
10, 5, ___, ___, –10
<br>
</li>
</ol>
</ol>
<p><strong>Answer:</strong> –5; The sequence is 10, 5, 0, –5, –10.
</p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="4" type="a">
<li>
___, ___, 4.5, 6, ___
<br>
</li>
</ol>
</ol>
<p><strong>Answer: </strong>1.5; The sequence is 1.5, 3, 4.5, 6.
</p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="5" type="a">
<li>
___, 12, 6, 0, ___
<br>
</li>
</ol>
</ol>
<p><strong>Answer:</strong> –6; The sequence is 18, 12, 6, 0, –6.</p>