Fine the average of first 100 natural numbers?
(1)50.5
(2)36.6
(3)50.8
(4)51
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Step-by-step explanation:
- sum of 1st n numbers is n(n+1)/2
- " " " 100 '" " " " "100(101)/2=5050
- average of 1st 100 numbers is 5050/100=50.5Similarly sum of next 100 numbers is 15050
- average of these numbers is 15050/100=150.0
- hence average of first 100 natural numbers is approximately 3 times of average of next 100 natural numbers
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