document.write( "Question 1177666: Write the equation of this geometric sequence and find the value of the 9th term. 1/3, 1, 3, 9... f(n) = f(9) = \n" ); document.write( "
Algebra.Com's Answer #806772 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Write the equation of this geometric sequence and find the value of the 9th term. \r
\n" ); document.write( "\n" ); document.write( "\"1%2F3\", \"1\", \"3\",\"+9\"... \"f%28n%29+=+f%289%29\" =\r
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\n" ); document.write( "\n" ); document.write( "\"f%5Bn%5D+=+f%5B1%5D%2Ar%5E%28n-1%29\" where \"f%5B1%5D\" is the first term, \"f%5Bn%5D\" is the nth term,\"+r\" is the common ratio, and \"n\" is the number of terms\r
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\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "\"f%5B1%5D=1%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"f%5B2%5D=1+\"\r
\n" ); document.write( "\n" ); document.write( "find \"r\"\r
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\n" ); document.write( "\n" ); document.write( "\"r=f%5B2%5D%2Ff%5B1%5D=1%2F%281%2F3%29=3\"\r
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\n" ); document.write( "\n" ); document.write( "formula is\r
\n" ); document.write( "\n" ); document.write( "\"f%5Bn%5D+=+%281%2F3%29%2A3%5E%28n-1%29\"\r
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\n" ); document.write( "\n" ); document.write( "find \"f%289%29\" => \"n=9\"\r
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\n" ); document.write( "\n" ); document.write( "\"f%5B9%5D+=+%281%2F3%29%2A3%5E%289-1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%5B9%5D+=+%281%2F3%29%2A3%5E8\"\r
\n" ); document.write( "\n" ); document.write( "\"f%5B9%5D+=+2187\"\r
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