Question

The sum of all the whole numbers from 1 to 1000 is

Answer 1

Answer:

The sum of all whole numbers from 1 to 1000 is 500500

Solution:

The sum of “n” whole numbers is given as,

$Sum = \bold{\frac{n(n + 1)}{2}}$  ---- eqn 1

Where “n” represents the total number of terms.

Given that we have to find the sum of all whole numbers from 1 to 1000. This can be written as,

Sum of { 1,2,3,……….., 1000}

So here, total number of terms “n” = 1000.

By using equation 1, we can find the sum as,

Sum = $\frac{1000(1000 + 1)}{2}$

$= \frac{1000(1001)}{2}$

= 500(1001)

= 500500

Hence the sum of all whole numbers from 1 to 1000 is 500500