document.write( "Question 1077548: Cybthia's donates oranges to a senior home. In week 1 she took 1/10 of the total of her oranges to the senior home; she took 1/9 of the left over oranges in week 2; she took 1/8 of the left over oranges in week 3; she took 1/7 of the left over oranges in week 4 and so on until week 9. In week 9 she took 1/2 of the left over oranges; and she took all 10 left over oranges from the tree in week 10. What was the total number of oranges on the tree at the beginning?
\n" ); document.write( "I worked on it and got 100 but I need a formula. I am not sure how to make it a formula. Or a model.
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Algebra.Com's Answer #692169 by MathTherapy(10551)\"\" \"About 
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Cybthia's donates oranges to a senior home. In week 1 she took 1/10 of the total of her oranges to the senior home; she took 1/9 of the left over oranges in week 2; she took 1/8 of the left over oranges in week 3; she took 1/7 of the left over oranges in week 4 and so on until week 9. In week 9 she took 1/2 of the left over oranges; and she took all 10 left over oranges from the tree in week 10. What was the total number of oranges on the tree at the beginning?
\n" ); document.write( "I worked on it and got 100 but I need a formula. I am not sure how to make it a formula. Or a model.
\n" ); document.write( "
1st week: Remainder = \"1+-+1%2F10+=+9%2F10\"
\n" ); document.write( "2nd week: Remainder = \"%288%2F9%29+%2A+%289%2F10%29+=+8%2F10\"
\n" ); document.write( "3rd week: Remainder = \"%287%2F8%29+%2A+%288%2F10%29+=+7%2F10\"
\n" ); document.write( "Do you now see a pattern/sequence? If not, I do!\r
\n" ); document.write( "\n" ); document.write( "Term/Week 1: Remainder = \"%2810+-+1%29%2F10+=+9%2F10\"
\n" ); document.write( "Term/Week 2: Remainder = \"%2810+-+2%29%2F10+=+8%2F10\"
\n" ); document.write( "We can then say that the REMAINDER-rule is: \"matrix%281%2C3%2C+a%5Bn%5D%2C+%22=%22%2C+%2810+-+n%29%2F10%29\", with n being the term/week number \r
\n" ); document.write( "\n" ); document.write( "Term/Week 9, or \"matrix%281%2C3%2C+a%5B9%5D%2C+%22=%22%2C+%2810+-+9%29%2F10+=+1%2F10%29\"
\n" ); document.write( "Week 9’s remainder is also the amount she had at the beginning of week 10
\n" ); document.write( "Therefore, with original number of oranges being Y, we can say that: \n" ); document.write( "
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