Question

The average of all natural numbers till 525 is

Answer 1

We know that sum of first n natural numbers = n(n+1)/2.

Then the sum of 525 natural numbers = 525(525 +1)/2

= 525 * 526/2

= 138075.

The average of natural numbers till 525 = 138075/525

263.

........

Answer 2

Answer:

The below workout with step by step calculation shows how to find what is the sum of natural numbers or positive integers from 1 to 525 by applying arithmetic progression. It's one of an easiest methods to quickly find the sum of any given number series.

step 1 address the

Step-by-step explanation:

step 1 address the formula, input parameters & values.

Input parameters & values:

The number series 1, 2, 3, 4, . . . . , 524, 525.

The first term a = 1

The common difference d = 1

Total number of terms n = 525

step 2 apply the input parameter values in the formula

Sum = n/2 x (a + Tn)

= 525/2 x (1 + 525)

= 276150/2

1 + 2 + 3 + 4 + . . . . + 524 + 525 = 138075

Therefore, 138075 is the sum of positive integers upto 525.