document.write( "Question 1205015: The 5th term of a GP is 8, the third term is 4, and the sum of the first ten terms is positive. Find the first term, the common ratio, and the sum of the first Ten years \n" ); document.write( "

Algebra.Com's Answer #841616 by ikleyn(52799) $\"\"$ $\"About$

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\n" ); document.write( "The 5th term of a GP is 8, the third term is 4, and the sum of the first ten terms is positive.
\n" ); document.write( "Find the first term, the common ratio, and the sum of the first ten $\"highlight%28cross%28years%29%29\"$ terms.
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document.write( "     = 8\r\n" );
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document.write( "     = 4\r\n" );
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document.write( "implies\r\n" );
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document.write( "     = 8    (1)\r\n" );
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document.write( "     = 4    (2)\r\n" );
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document.write( "Divide equation (1) by equation (2)  (both sides).  You will get\r\n" );
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document.write( "     = 2,  r = +/- .\r\n" );
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document.write( "Let's consider case  r =   first  (positive value).  We then have\r\n" );
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document.write( "     =  =  =  = 2.\r\n" );
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document.write( "     =  =  =  =  =  = .\r\n" );
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document.write( "Now, if  r = , then the sum   will be, OBVIOUSLY, negative; so, due to the condition, we reject this case.\r\n" );
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document.write( "ANSWER.   = 2;  r = ,   = .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Sorry, by mistake, I overlayed the post by @MathLover1 by my post . . . \r
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\n" ); document.write( "\n" ); document.write( "I regret very much, sorry . . . \r
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