document.write( "Question 828231: Bill has decided to eat a healthier diet by decreasing the amount of salt he eats. He has decided to allow himself 35,000 milligrams of sodium in the first week of a new diet. Each week he will decrease the amount of sodium by 10%. How much sodium will he consume in the first 9 weeks of his new diet?
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Algebra.Com's Answer #499187 by stanbon(75887) $\"\"$ $\"About$

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Bill has decided to eat a healthier diet by decreasing the amount of salt he eats. He has decided to allow himself 35,000 milligrams of sodium in the first week of a new diet. Each week he will decrease the amount of sodium by 10%. How much sodium will he consume in the first 9 weeks of his new diet?
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\n" ); document.write( "35000 + 0.9*35000 + 0.9^2*35000 + ... + 0.9^8*35000
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\n" ); document.write( "That is a geometric series.
\n" ); document.write( "S(n) = a[r^n - 1]/[r - 1]
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\n" ); document.write( "S(9) = 35000[0.9^9 -1]/[0.9 - 1] = 35000[-0.6126/-0.1]
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\n" ); document.write( "= 35000[6.1258] = 214,402.83 mg
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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