(1+2+3+….......….……………+n/)/n²
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Step-by-step explanation:
Let
S=1+2+…+(n−1)+n.
Write it backwards:
S=n+(n−1)+…+2+1.
Add the two equations, term by term; each term is n+1, so
2S=(n+1)+(n+1)+…+(n+1)=n(n+1).
Divide by 2:
S=
n(n+1)
2
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