document.write( "Question 1127671: The first three terms of a G.P are x+1, x+3 and x+8, find,
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document.write( "i) The Value of x
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document.write( "ii) The common ratio
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document.write( "iii) The sum of the first 15 terms. \n" );
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Algebra.Com's Answer #744118 by FrankM(1040)![]() ![]() You can put this solution on YOUR website! For there to be a common ratio,\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And after cross multiplying -\r \n" ); document.write( "\n" ); document.write( "X^2+9X+8= X^2+6X+9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9X+8=6X+9\r \n" ); document.write( "\n" ); document.write( "3X=1\r \n" ); document.write( "\n" ); document.write( "i) X= 1/3 \r \n" ); document.write( "\n" ); document.write( "ii) Therefore the first 3 numbers are 4/3, 10/3, 25/3 with a common ratio of 2.5\r \n" ); document.write( "\n" ); document.write( "iii) = A (1+r^n)/(1-r) = 4/3 (1-2.5^15)/(1-2.5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4/3 (-931321.575)/-1.5 = 827841.4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I used a spreadsheet to verify the solution is correct. \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |