document.write( "Question 1197507: Find the sum to infinity of the following: 16, 12, 9, 27/4 \n" ); document.write( "
Algebra.Com's Answer #831033 by MathTherapy(10552)\"\" \"About 
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Find the sum to infinity of the following: 16, 12, 9, 27/4
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This is a GEOMETRIC progression since it has a common ratio (r) of \"matrix%281%2C5%2C+12%2F16%2C+%22=%22%2C+9%2F12%2C+%22=%22%2C+3%2F4%29\". Furthermore, |r| < 1.\r\n" );
document.write( "  Sum of an INFINITE GEOMETRIC sequence: \"matrix%281%2C3%2C+S%5Binfinity%5D%2C+%22=%22%2C+a%5B1%5D%2F%281+-+r%29%29\"\r\n" );
document.write( "                                         \"matrix%281%2C3%2C+S%5Binfinity%5D%2C+%22=%22%2C+16%2F%281+-+3%2F4%29%29\" ----- Substituting 16 for a1, and \"3%2F4\" for r (common ratio) \r\n" );
document.write( "                                         \"matrix%281%2C3%2C+S%5Binfinity%5D%2C+%22=%22%2C+16%2F%281%2F4%29%29\"\r\n" );
document.write( "                                              \"matrix%281%2C2%2C+%22=%22%2C+16%284%2F1%29%29\"\r\n" );
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document.write( "Sum of this INFINITE GEOMETRIC series: 16(4) = 64
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