The sequences below are either arithmetic sequences or geometric sequences. For each sequence, determine whether it is arithmetic or geometric, and write the formula for the nth term an of that sequence.
The sequences below are either arithmetic sequences or geometric sequences. For each sequence, determine whether it is arithmetic or geometric, and write the formula for the nth term an of that sequence.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.4: Geometric Sequences And Series
Problem 19E: Find the requested term of each geometric sequence. Find the fifth term of a geometric sequence...
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![The sequences below are either arithmetic sequences or geometric sequences. For each sequence, determine whether it is arithmetic or geometric, and write the formula for the \(n^{th}\) term \(a_n\) of that sequence.
<table>
<tr>
<th>Sequence</th>
<th>Type</th>
<th>\(n^{th}\) term formula</th>
</tr>
<tr>
<td>\((a)\) 5, -15, 45, ...</td>
<td>
<input type="radio" id="arithmetic_1" name="type1" value="Arithmetic">
<label for="arithmetic_1">Arithmetic</label><br>
<input type="radio" id="geometric_1" name="type1" value="Geometric">
<label for="geometric_1">Geometric</label>
</td>
<td>\(a_n = \) <input type="text" name="formula1"></td>
</tr>
<tr>
<td>\((b)\) -5, -8, -11, ...</td>
<td>
<input type="radio" id="arithmetic_2" name="type2" value="Arithmetic">
<label for "arithmetic_2">Arithmetic</label><br>
<input type="radio" id="geometric_2" name="type2" value="Geometric">
<label for "geometric_2">Geometric</label>
</td>
<td>\(a_n = \) <input type="text" name="formula2"></td>
</tr>
</table>
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Transcribed Image Text:The sequences below are either arithmetic sequences or geometric sequences. For each sequence, determine whether it is arithmetic or geometric, and write the formula for the \(n^{th}\) term \(a_n\) of that sequence.
<table>
<tr>
<th>Sequence</th>
<th>Type</th>
<th>\(n^{th}\) term formula</th>
</tr>
<tr>
<td>\((a)\) 5, -15, 45, ...</td>
<td>
<input type="radio" id="arithmetic_1" name="type1" value="Arithmetic">
<label for="arithmetic_1">Arithmetic</label><br>
<input type="radio" id="geometric_1" name="type1" value="Geometric">
<label for="geometric_1">Geometric</label>
</td>
<td>\(a_n = \) <input type="text" name="formula1"></td>
</tr>
<tr>
<td>\((b)\) -5, -8, -11, ...</td>
<td>
<input type="radio" id="arithmetic_2" name="type2" value="Arithmetic">
<label for "arithmetic_2">Arithmetic</label><br>
<input type="radio" id="geometric_2" name="type2" value="Geometric">
<label for "geometric_2">Geometric</label>
</td>
<td>\(a_n = \) <input type="text" name="formula2"></td>
</tr>
</table>
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