document.write( "Question 740508: Determine the common ratio of a geometric series that has these partial sums: S4= -3.5, S5= -3.75, S6= -3.875.\r
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Algebra.Com's Answer #852605 by ikleyn(53427) $\"\"$ $\"About$

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\n" ); document.write( "Determine the common ratio of a geometric series that has these partial sums: S4= -3.5, S5= -3.75, S6= -3.875.
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document.write( "Standard designations mean that S4 is the sum of the first 4 terms of this GP;\r\n" );
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document.write( "                                S5 is the sum of the first 5 terms of this GP;\r\n" );
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document.write( "                                S6 is the sum of the first 6 terms of this GP.\r\n" );
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document.write( "Therefore, the 5th terms is S5 - S4 = -3.75 - (-3.5) = -3.75 + 3.5 = -0.25;\r\n" );
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document.write( "           the 6th terms is S6 - S5 = -3.875 - (-3.75) = -3.875 + 3.75 = -0.125.\r\n" );
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document.write( "Now we can easily determine the common ratio of this GP.\r\n" );
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document.write( "It is the ratio of the 6th term to the 5th term\r\n" );
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document.write( "     = 0.5.    ANSWER\r\n" );
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