(52) ²4 (54) ²+ --- (100) = ?
what is the sum
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Step-by-step explanation:
51 + 52 + 53 + ...........+ 100
= (1 + 2 + 3 + .... + 100) - (1 + 2 + 3 + ...... + 50)
= It is in the form of n(n+1)2 series summationn(n+1)2 series summation
= n1 = 100 , n2 = 50
=[100(100+1)2] − [50(50+1)2]100100+12 - 5050+12
= (5050 - 1275) = 3775
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