While three soldiers guarding an orchard, a theif came in and stole come apples. On his way out, he met the three soldiers one after another and to each in turn he have 1/3 of the apples plus 1 more. After doing this, he ended up with 5 apples. How many did he originally steal? I know the answer is 24 but I can't figure out a formula to do this. We can't use guess and check.
While three soldiers guarding an orchard, a theif came in and stole come apples. On his way out, he met the three soldiers one after another and to each in turn he have 1/3 of the apples plus 1 more. After doing this, he ended up with 5 apples. How many did he originally steal? I know the answer is 24 but I can't figure out a formula to do this. We can't use guess and check.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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While three soldiers guarding an orchard, a theif came in and stole come apples. On his way out, he met the three soldiers one after another and to each in turn he have 1/3 of the apples plus 1 more. After doing this, he ended up with 5 apples. How many did he originally steal? I know the answer is 24 but I can't figure out a formula to do this. We can't use guess and check.
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