document.write( "Question 998359: Please help me solve this equation. The second and seventh term of a g.p are 18 and 4374 respectively find the (a) common ratio (b) sum of 4th and 8th terms (c) sum of the first 10 terms please help me \n" ); document.write( "
Algebra.Com's Answer #616138 by ikleyn(52788)\"\" \"About 
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\n" ); document.write( "The second and seventh term of a geom. progression are 18 and 4374 respectively find the  (a) common ratio  (b) sum of  4th and 8th terms  (c) sum of the first 10 terms.
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document.write( "\"a%5B2%5D\" = \"a%5B1%5D\".\"q\"   =   18     (1)\r\n" );
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document.write( "\"a%5B7%5D\" = \"a%5B1%5D\".\"q%5E6\" = 4374     (2)\r\n" );
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document.write( "Divide (2) by (1). You will get\r\n" );
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document.write( "\"q%5E5\" = \"4374%2F18\" = 243.\r\n" );
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document.write( "Hence, \"q\" = \"root%285%2C+243%29\" = 3.\r\n" );
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document.write( "It implies \"a%5B1%5D\" = \"a%5B2%5D%2Fq\" = \"18%2F3\" = 6.\r\n" );
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document.write( "Now, when you know \"a%5B1%5D\" = 6 and \"q\" = 3, you can calculate all remaining values.\r\n" );
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