Course Solutions Uncategorized (Solved) : 1 Si Sjsn J Th Consecutive Sum Siy Sequence Ak N Integers Defined J Ak Example Sequence 11 Q29581156 . . . .

(Solved) : 1 Si Sjsn J Th Consecutive Sum Siy Sequence Ak N Integers Defined J Ak Example Sequence 11 Q29581156 . . . .

 

For any 1 si sjsn, the (i,j)th consecutive sum Siy of the sequence (ak)i.n of integers is defined by i,j ak For example, for the the sequence 11,-5,1,5,-7,2, -9,8,-4,8, S3.6 1+5-7+2-1. (a) Give an example of a sequence of length 5 for which all the consecutive sums are different. (b) For a sequence of length n, what is the greatest possible number of different consec utive sums? (c) Here is an algorithm for finding the maximum consecutive sum of a sequence: Input: Sequence (ak)i., n 21 Output: mar, the maximum consecutive sum of the input sequence. (If all consecutive 

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