document.write( "Question 287878: find the sum of the infinite geometric series 64 + 48 + 36 + 27 + ... if there is a sum \n" ); document.write( "
Algebra.Com's Answer #208625 by CharlesG2(834)\"\" \"About 
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find the sum of the infinite geometric series 64 + 48 + 36 + 27 + ... if there is a sum\r
\n" ); document.write( "\n" ); document.write( "64 * 3/4 = 48
\n" ); document.write( "48 * 3/4 = 36
\n" ); document.write( "36 * 3/4 = 27
\n" ); document.write( "27 * 3/4 = 20.25\r
\n" ); document.write( "\n" ); document.write( "64 * (3/4)^0 = 64 * 1 = 64
\n" ); document.write( "64 * (3/4)^1 = 64 * 3/4 = 48
\n" ); document.write( "64 * (3/4)^2 = 64 * 9/16 = 36
\n" ); document.write( "64 * (3/4)^3 = 64 * 27/64 = 27
\n" ); document.write( "64 * (3/4)^4 = 64 * 81/256 = 20.25\r
\n" ); document.write( "\n" ); document.write( "\"+64+%2A+sum%28%283%2F4%29%5En%2C0%2Cinfinity%29+\"\r
\n" ); document.write( "\n" ); document.write( "S(sub infinity) = a(sub 1)/(1 - r) (|r|<1)
\n" ); document.write( "r = 3/4, a(sub 1) = 64
\n" ); document.write( "S(sub infinity) = 64/(1 - 3/4) = 64/(1/4) = 256\r
\n" ); document.write( "\n" ); document.write( "sum is 256\r
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