Find the sum of series 1+2+3+...n=666
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Step-by-step explanation:
S(n) = n(n+1)/2
666*2 = n(n+1)
n² + n - 1332 = 0
n²+37n-36n - 1332 = 0
n(n+37) -36(n+37) = 0
(n+37)(n-36) = 0
n = 36 ✓
So , S(36) = 666
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