Description
What is the sum of integers from 1 to n?Justify your formula with a proof.
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Explanation & Answer
So we want the sum of first n integers. Answer:Let S = 1+2+3...(n-1)+n. Thus, S = n+(n-1)+(n-2)...+2+1. 2S = (n+1) + (n+1) +.... + (n+1) = n(n+1) Then, S = {n(n+1)}/2.Explaination: Let us denote the sum by S. Then, S = 1+2+3...(n-1)+n. Write the sequence of ...
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