document.write( "Question 466249: Problem Solving: A sunflower plant was purchased with the following growth guarantee. After being planted, on the first day it would grow 100 mm. On the second day its height would increase by one half (50%), on the third day by one third, on the fourth day by one fourth, and so on. Assuming that the plant actually grows according to the guarantee, how many days would it take for it to reach its maximum height of 5000 mm? \n" ); document.write( "
Algebra.Com's Answer #319672 by ankor@dixie-net.com(22740)\"\" \"About 
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A sunflower plant was purchased with the following growth guarantee.
\n" ); document.write( " After being planted, on the first day it would grow 100 mm.
\n" ); document.write( " On the second day its height would increase by one half (50%),
\n" ); document.write( " on the third day by one third, on the fourth day by one fourth, and so on
\n" ); document.write( " Assuming that the plant actually grows according to the guarantee, how many days would it take for it to reach its maximum height of 5000 mm?
\n" ); document.write( ":
\n" ); document.write( "Day 1: 100
\n" ); document.write( "Day 2: 100 + \"1%2F2\"*100 = 150
\n" ); document.write( "Day 3: 150 + \"1%2F3\"*150 = 200
\n" ); document.write( "Day 4: 200 + \"1%2F4\"*200 = 250
\n" ); document.write( "Day 5: 250 + \"1%2F5\"*250 = 300
\n" ); document.write( "Day 6: 300 + \"1%2F6\"*300 = 350
\n" ); document.write( "Day 7: 350 + \"1%2F7\"*350 = 400
\n" ); document.write( "From this we can see a pattern, that every day it will increase by 50:
\n" ); document.write( "50(d+1) = 5000
\n" ); document.write( "50d + 50 = 5000
\n" ); document.write( "50d = 5000 - 50
\n" ); document.write( "50d = 4950
\n" ); document.write( "d = \"4950%2F50\"
\n" ); document.write( "d = 99 days to reach 5000 mm
\n" ); document.write( " \n" ); document.write( "
\n" );