document.write( "Question 1152199: which term of the geometric progression -2,8,-32, ....is 2048 \n" ); document.write( "
Algebra.Com's Answer #774157 by ikleyn(52803)\"\" \"About 
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document.write( "First term is -2;  the common ratio is (-4).\r\n" );
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document.write( "The general term  \"a%5Bn%5D\" = -\"2%2A%28-4%29%5E%28n-1%29\".\r\n" );
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document.write( "So you need find \"n\" from the equation\r\n" );
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document.write( "    -\"2%2A%28-4%29%5E%28n-1%29\" = 2048.\r\n" );
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document.write( "It gives\r\n" );
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document.write( "    \"%28-4%29%5E%28n-1%29\" = \"2048%2F%28-2%29\" = -1024 = \"%28-4%29%5E5\".\r\n" );
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document.write( "Hence,  n-1 = 5  and  n = 5+1 = 6.    ANSWER\r\n" );
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