document.write( "Question 1202480: The sum of a geometric sequence 2 - 6 + 18 - 54 + ... - tn is - 29 524. Find the number of terms. \n" ); document.write( "

Algebra.Com's Answer #837362 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "The sum of a geometric sequence 2 - 6 + 18 - 54 + ... - tn is - 29524.
\n" ); document.write( "Find the number of terms.
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document.write( "This geometric progression has the first term a= 2 and the common ratio -3.\r\n" );
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document.write( "Use the general formula for the sum of the first n terms\r\n" );
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document.write( "     = .\r\n" );
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document.write( "It gives\r\n" );
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document.write( "    -29524 = .\r\n" );
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document.write( "Simplify and find n\r\n" );
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document.write( "     = \r\n" );
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document.write( "    59048 = \r\n" );
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document.write( "    59048 + 1 = \r\n" );
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document.write( "    59049 = \r\n" );
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document.write( "     = \r\n" );
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document.write( "It implies  n= 10.\r\n" );
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document.write( "ANSWER.  The number of terms is 10.\r\n" );
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