document.write( "Question 149502: what is the equation for this problem. A man has a job for thirty days, he will be paid 1 penny for the first day, 2 pennies for the second day, 4 pennies for the third day, and so on. What is the equation that would give the total amount of pennies for the 30th day?
\n" ); document.write( " this is not in the text book I have. \n" ); document.write( "
Algebra.Com's Answer #109690 by Edwin McCravy(20060)\"\" \"About 
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\n" ); document.write( "what is the equation for this problem. A man has a job for thirty days, he will be paid 1 penny for the first day, 2 pennies for the second day, 4 pennies for the third day, and so on. What is the equation that would give the total amount of pennies for the 30th day?
\n" ); document.write( " this is not in the text book I have.
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document.write( "I can't tell whether you want to know the number of pennies received\r\n" );
document.write( "on just the 30th day only, or whether you want the total number of \r\n" );
document.write( "pennies received in all the 30 days.\r\n" );
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document.write( "If you want to know just how many pennies he received on the 30th day\r\n" );
document.write( "only:\r\n" );
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document.write( "The nth term of a geometric series \"a%5Bn%5D\" is given by\r\n" );
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document.write( "\"a%5Bn%5D=a%5B1%5Dr%5E%28n-1%29\"\r\n" );
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document.write( "where \r\n" );
document.write( "\"n=the_number_of+terms=20\",\r\n" );
document.write( "\"r=the_number_multiplied_by_each_time=2\" \r\n" );
document.write( "\"a%5B1%5D=the_first_term+=+1\"\r\n" );
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document.write( "Substituting,\r\n" );
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document.write( "\"a%5B30%5D=%281%29%282%29%5E%2830-1%29=2%5E29=536870912\"\r\n" );
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document.write( "This is how many pennies ge would receive of the 30th day\r\n" );
document.write( "ONLY, well over 5 million dollars!\r\n" );
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document.write( "If you want to know how many pennies he would receive in all 30\r\n" );
document.write( "days total, the sum of the first n terms of a geometric \r\n" );
document.write( "series \"S%5Bn%5D\" is given by\r\n" );
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document.write( "\"S%5Bn%5D=%28a%5B1%5D%28r%5En-1%29%29%2F%28r-1%29\"\r\n" );
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document.write( "where \r\n" );
document.write( "\"n=the_number_of+terms=20\",\r\n" );
document.write( "\"r=the_number_multiplied_by_each_time=2\" \r\n" );
document.write( "\"a%5B1%5D=the_first_term+=+1\"\r\n" );
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document.write( "Substituting,\r\n" );
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document.write( "\"S%5B30%5D=%281%282%5E30-1%29%29%2F%282-1%29=%281%281073741824-1%29%29%2F1=+1073741823+\"\r\n" );
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document.write( "well over 10 million dollars!\r\n" );
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document.write( "Edwin
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