Select the correct answerThe average of square of natural numbers from 1 to 35 is?Options426425526435
Question
Select the correct answerThe average of square of natural numbers from 1 to 35 is?Options426425526435
Solution 1
The formula for the average of squares of first n natural numbers is given by (n*(n+1)*(2n+1))/6.
Let's use this formula to find the average of squares of first 35 natural numbers.
Substitute n=35 in the formula, we get:
Average = (35*(35+1)(235+1))/6 = (353671)/6 = 426.
So, the correct answer is 426.
Solution 2
The formula for the average of squares of first n natural numbers is (n*(n+1)*(2n+1))/6.
Let's use this formula to find the average of squares of first 35 natural numbers.
= (35*(35+1)(235+1))/6 = (353671)/6 = 15130
But this is the sum of squares of first 35 natural numbers. To find the average, we need to divide this sum by the total number of terms, which is 35.
So, the average = 15130 / 35 = 432
Therefore, none of the options provided (426, 425, 526, 435) is correct. The correct answer should be 432.
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