What is the sum of the first 30 positive even numbers combined?
The answer to what is the sum of the first positive even numbers is 930. It doesn't mean that you add all the even numbers up until you reach the number 30. In fact, since you have to get the sum of the even numbers, you have to add all even numbers until you get to the number 60.
Find the difference between the sum of the first 1000000 positive even numbers and the sum of the first 1000000 positive odd numbers?
The sum of the first 1,000,000 positive even numbers is: 2 + 4 + 6 + 8 + ... + 2,000,000 The sum of the first 1,000,000 positive odd integers is: 1 + 3 + 5 + 7 + ... + 1,999,999 The difference between the two is: (2-1) + (4-3) + (6-5) + (8-7) + ... + (2,000,000-1,999,999). This is the same as: 1 + 1 + 1 + 1 + ... + 1…
even numbers are exactly divisible by two. ie. they do not give a remainder when divided by 2. natural numbers are positive integers starting from 1. even natural numbers are a combination of both.. eg. 2,4,50 etc the term positive is not required for these numbers because, natural numbers are positive !... so positive 'natural number' is like saying ' approximated estimate '..
2 + 4 + 6 + 8 + 10 = 30 In general, the sum of the first n even numbers is n(n+1). Replacing n with 5 we have 5x6 which equals 30 as we found by direct calcuation. The formula is nice when you have many numbers. For example, finding the sum of the first 100 positive even numbers would be a PAIN! But using the formula is it simply 100x101.