Knowee
Questions
Features
Study Tools

The average of square of natural numbers from 1 to 35 is?

Question

The average of square of natural numbers from 1 to 35 is?

🧐 Not the exact question you are looking for?Go ask a question

Solution 1

Sure, here is the step by step solution:

The formula for the sum of squares of first n natural numbers is n*(n+1)*(2n+1)/6.

So, the sum of squares of first 35 natural numbers is 35*(35+1)(235+1)/6 = 13685.

The average of squares of these numbers is the sum divided by the count of numbers. So, the average is 13685/35 = 391.

So, the average of square of natural numbers from 1 to 35 is 391.

Solution 2

Sure, to find the average of the squares of natural numbers from 1 to 35, we need to use the formula for the sum of squares of natural numbers, which is n*(n+1)*(2n+1)/6.

Step 1: Calculate the sum of squares of natural numbers from 1 to 35. Using the formula, we get 35*(35+1)(235+1)/6 = 353671/6 = 158410.

Step 2: Calculate the average. The average is the sum divided by the number of terms. So, the average is 158410/35 = 4526.

So, the average of the squares of natural numbers from 1 to 35 is 4526.

This problem has been solved

Similar Questions

How much will be the average of the squares of natural numbers from 1 to 35?612.51225426324

Select the correct answerThe average of square of natural numbers from 1 to 35 is?Options425526435426

The difference between the squares of two consecutive numbers is 35. The numbers are?

Find average of natural numbers from 1 to 65?3332.513065

If the mean of the squares of first n natural numbers is 105, then the first n natural numbers i

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.