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jwatkin85 jwatkin85
  • 11-06-2014
  • Mathematics
Answered

Find the pattern and use it to list the nth term in the sequence.

1, 1/32,1/243,1/1024,1/3125

Verified Answer :

Anonymous Anonymous
  • 14-06-2014

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

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