document.write( "Question 1108734: Find an explicit formula for the sequence given by: {1, 1/4, 1/9, 1/16, 1/25}\r
\n" ); document.write( "\n" ); document.write( "I want to say the formula has something to do with multiplying the position by itself, but I don't know what else or how to make it into a fraction. For instance, 2x2=4, 3x3=9, etc etc.
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Algebra.Com's Answer #723788 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "You are on the right track....

\n" ); document.write( "But the \"2x2=4\", \"3x3=9\", etc. are the DENOMINATORS of the terms of the sequence.

\n" ); document.write( "So the 1st term is \"1%2F%281%2A1%29+=+1%2F1+=+1\"
\n" ); document.write( "The 2nd term is \"1%2F%282%2A2%29+=+1%2F2%5E2+=+1%2F4\"
\n" ); document.write( "The 3rd term is \"1%2F%283%2A3%29+=+1%2F3%5E2+=+1%2F9\"
\n" ); document.write( "The 4th term is \"1%2F%284%2A4%29+=+1%2F4%5E2+=+1%2F16\"
\n" ); document.write( "...

\n" ); document.write( "So what is the expression for the n-th term?
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