Use Gauss’ formula: sum = 1000/2 *(1000+2) = 250500
Hi Rima, I slightly disagree with your answer. Firstly, the formula for sum of natural number is 1/2n(n+1). Secondly, sum of natural number is 1+2+3+4+5+...., the situation here is sum of even number between 1 and 1000, so the summation formula here doesn't really work.
There are two methods to do this question:
Method 1: this sequence is 2+4+6+....+1000, so it is an arithmetic sequence. The fo... more
The equation for figuring out the sum of natural numbers is n(n+1).
The n stands for how many numbers are actually even within that series of 1-1000.
We know that there are 500 numbers that are even between 1-1000 therefore n=500. We can then plug 500 into our equation.
500(500+1)
=500 x 501
=250500
Similar questions in Maths
Asked by Oliwia
I would really love to be a lawyer, What are the minimum grades at GCSE’s and A-Levels?
Asked by Freddy
What A levels should I take to go in the travel industry
Asked by Ben