Proceeding through a sequence of numbers term by term, we calculate a running tally as follows. The tally starts at zero. Starting with the first term, a term is subtracted from the running tally if the result is non-negative, otherwise it is added to the tally. When we arrive at the end of the roman sum of the sequence. For instance, the roman sum of the sequence 2,4,3,3,1,5 is 0+2+4-3-3+1+5=6. For a sequence consisting of the numbers 1,2,3...100 in some order, what is its largest possible roman sum?
Proceeding through a sequence of numbers term by term, we calculate a running tally as follows. The tally starts at zero. Starting with the first term, a term is subtracted from the running tally if the result is non-negative, otherwise it is added to the tally. When we arrive at the end of the roman sum of the sequence. For instance, the roman sum of the sequence 2,4,3,3,1,5 is 0+2+4-3-3+1+5=6. For a sequence consisting of the numbers 1,2,3...100 in some order, what is its largest possible roman sum?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Proceeding through a sequence of numbers term by term, we calculate a running tally as follows. The tally starts at zero. Starting with the first term, a term is subtracted from the running tally if the result is non-negative, otherwise it is added to the tally. When we arrive at the end of the roman sum of the sequence. For instance, the roman sum of the sequence 2,4,3,3,1,5 is 0+2+4-3-3+1+5=6.
For a sequence consisting of the numbers 1,2,3...100 in some order, what is its largest possible roman sum?
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