Use the approach in Gauss’s problem to find the following sums of arithmetic sequences (do not use formulas):1+3+5+7+…+1001
To find the sum of the given arithmetic sequence using Gauss's approach.
The given sequence is 1+3+5+7+...+1001.
The total number of terms in the sequence is (1+1001)/2 = 1002/2 = 501.
To make the number of terms an even numer, skip the last term 1001.
Now the sequence become 1+3+5+7+...+999.
Add ith and (n-i)th term of the sequence, where n,i∈[1,500].
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