Question

Sum of first 100 natural numbers by gauss sum method

Answer 1

Answer:

5050

Step-by-step explanation:

First 100 natural numbers are 1,2,3,4,........,100

1+100 = 101

2+99=101

3+97=101

If we go on, there will be 100 pairs that add up to 101

But the numbers 1-100 come two times in these pairs

Hence, the sum of first 100 natural numbers = 101*100/2 = 5050

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