document.write( "Question 140967: Hey can you pleaseee help me !\r
\n" ); document.write( "\n" ); document.write( "How much money would you save in a year if you put a penny away the first day of the year, two pennies the 2nd day, 3 on the third and so on.
\n" ); document.write( "(There is supposed to be an algebraic equation to find it, but I can't figure out the equation)\r
\n" ); document.write( "\n" ); document.write( "Thanks
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Algebra.Com's Answer #102614 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
If you were to save 1 penny on the first day of the yesr then 2 pennies on the second day, etc, for one year, your total, S, would be:
\n" ); document.write( "\"S+=+1%2B2%2B3%2B4%2B...%2B365\" This is called an \"Arithmetic series\"
\n" ); document.write( "The total, S, is called the partial sum and is given by:
\n" ); document.write( "\"S%5Bn%5D+=+%28n%2F2%29%28a%5B1%5D%2Ba%5Bn%5D%29\" where: n = the number of terms in the series (that's 365 in this problem), \"a%5B1%5D\" is the first term (that's 1 here) and \"a%5Bn%5D\" is the nth term and that is \"a%5B365%5D+=+365\". So...
\n" ); document.write( "\"S+=+%28365%2F2%29%281%2B365%29\"
\n" ); document.write( "\"S+=+%28365%2F2%29%28366%29\"
\n" ); document.write( "\"S+=+65148\" Pennies. To convert to dollars, divide by 100.
\n" ); document.write( "\"S+=+651.48\" dollars.
\n" ); document.write( "S = $651.48
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