1 What is the sum of the first 100 natural numbers?
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S100=n2[2a+(n−1)d]substituting the values. we getS100=1002[2×1+(100−1)×1]S100=50[2+99]S100=50×101S100=5050∴ The sum of first 100 natural numbers is 5050.
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Sum of the 1 to 100 numbers is
n(n+1)/2
100×(100+1)/2
100 ×101/2
50×101
5050
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