Question

3. Find the sum of the first 1000 positive integers.​

Answer 1

Answer:

Sum of these positive integers will form an AS( arithmetic series ).

We know for Arithmetic Series (AS), sum of n terms is (n/2)( first term + last term )

Here,

First term = first +ve integer = 1

Last term = last +ve integer = 1000

n = 1000 For this Arithmetic Series (AS)

So,

→ required sum = (1000/2)( 1 + 1000 )

→ required sum = (500)(1001)

→ required sum = 500500

Hence the required sum is 500500