document.write( "Question 1173922: Calculate the sum of the first 6 terms of the geometric series with the 3rd term 6 and the common ratio 2/3.
\n" ); document.write( "A) 1330/243
\n" ); document.write( "B) 211/6
\n" ); document.write( "C) 665/18
\n" ); document.write( "D) 665/729 \n" ); document.write( "
Algebra.Com's Answer #799307 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Calculate the sum of the first 6 terms of the geometric series with the 3rd term 6 and the common ratio 2/3.
\n" ); document.write( "A) 1330/243
\n" ); document.write( "B) 211/6
\n" ); document.write( "C) 665/18
\n" ); document.write( "D) 665/729
\n" ); document.write( "
Formula for a GP term: \"matrix%281%2C3%2C+a%5Bn%5D%2C+%22=%22%2C+a%5B1%5Dr%5E%28n+-+1%29%29\"
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document.write( "   Substituting 3 for n, we get: \"matrix%281%2C3%2C+a%5B3%5D%2C+%22=%22%2C+a%5B1%5Dr%5E%283+-+1%29%29\"
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document.write( " Substituting \"matrix%282%2C3%2C+2%2F3%2C+for%2C+r%2C+6%2C+for%2C+a%5B3%5D%29\" we get:  \r
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document.write( "        Formula for sum of a GP: \"matrix%281%2C3%2C+S%5Bn%5D%2C+%22=%22%2C+a%5B1%5D%28%28r%5En+-+1%29%2F%28r+-+1%29%29%29\"
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document.write( "   Substituting 6 for n, we get: \"matrix%281%2C3%2C+S%5B6%5D%2C+%22=%22%2C+a%5B1%5D%28%28r%5E6+-+1%29%2F%28r+-+1%29%29%29\"
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document.write( "Substituting \"matrix%282%2C3%2C+27%2F2%2C+for%2C+a%5B1%5D%2C+2%2F3%2C+for%2C+r%29\" we get: 
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