document.write( "Question 1187236: The first term of geometric progression is 300 and the fourth term is -8/5. Find the common ratio and the sum to infinity. \n" ); document.write( "
Algebra.Com's Answer #818187 by MathLover1(20849)\"\" \"About 
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the first term is \"a%5B1%5D=300+\"
\n" ); document.write( " the fourth term is \"a%5B4%5D=-8%2F5\"\r
\n" ); document.write( "\n" ); document.write( "the \"n\"th term formula is:\r
\n" ); document.write( "\n" ); document.write( "\"a%5Bn%5D=a%5B1%5D%2Ar%5E%28n-1%29\"\r
\n" ); document.write( "\n" ); document.write( "find the common ratio \r
\n" ); document.write( "\n" ); document.write( "\"a%5B4%5D=a%5B1%5D%2Ar%5E%284-1%29=-8%2F5\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5B4%5D=a%5B1%5D%2Ar%5E3\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5B4%5D=300%2Ar%5E3\"\r
\n" ); document.write( "\n" ); document.write( "\"300%2Ar%5E3=-8%2F5\"\r
\n" ); document.write( "\n" ); document.write( "\"r%5E3=%28-8%2F5%29%2F300\"\r
\n" ); document.write( "\n" ); document.write( "\"r%5E3=-2%2F375\"\r
\n" ); document.write( "\n" ); document.write( "\"r=root%283%2C-2%2F375%29\"\r
\n" ); document.write( "\n" ); document.write( "\"r=root%283%2C-2%2F375%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5Bn%5D=300%2A%28root%283%2C-2%2F375%29%29%5E%28n-1%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sum%28300%28root%283%2C-2%2F375%29%29%5E%28n-1%29%2Cn=1%2Cinfinity+%29\"=> converges\r
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