Find the pattern and use it to list the nth term in the sequence.
1, 1/32,1/243,1/1024,1/3125

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11-06-2014
Mathematics

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Find the pattern and use it to list the nth term in the sequence.
1, 1/32,1/243,1/1024,1/3125

Answer :

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Аноним Аноним · Answer 1 · 2014-06-14T07:48:18-04:00

Аноним Аноним

14-06-2014

[tex]1;\ \frac{1}{32};\ \frac{1}{243};\ \frac{1}{1024};\ \frac{1}{3125}\\\\1=\frac{1}{1^5}\\\\\frac{1}{32}=\frac{1}{2^5}\\\\\frac{1}{243}=\frac{1}{3^5}\\\\\frac{1}{1024}=\frac{1}{4^5}\\\\\frac{1}{3125}=\frac{1}{5^5}\\\vdots\\\\a_n=\frac{1}{n^5}\ where\ n\in\mathbb{N^+}[/tex]

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Find the pattern and use it to list the nth term in the sequence. 1, 1/32,1/243,1/1024,1/3125

Answer :

Other Questions

Find the pattern and use it to list the nth term in the sequence.
1, 1/32,1/243,1/1024,1/3125