answersLogoWhite

0


Best Answer

Gauss' method, supposedly at the age of 5 according to the story ...

Consider pairs:

1 + 100 = 101

2 + 99 = 101

3 + 98 = 101

4 + 97 = 101

5 + 96 = 101

Each pair sums to 101, and there are (100/2) = 50 of them.

So their grand sum is (101 x 50) = 5050.

User Avatar

Wiki User

15y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Find a fast way to sum the integers from 1 to 100?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Sum the integers from 1 to 100?

The sum of the integers from 1 to 100 inclusive is 5,050.


The sum of two consecutive odd integers is 100 Find the integers?

They are 2n+2


Writes a c program to find the sum of all integers between 1 and n?

Write a program to find the number and sum of all integers from 100 to 300 that are divisible by 11


Find three consecutive integers whose sum is 300?

99, 100, and 101


What is the sum of all consecutive integers 1-100?

101


What is the sum of the first 100 positive integers?

To find the sum of the first 100 integers, you first add 1 plus 100 (the first and last numbers of the set) and get 101. Do the same with the next two integers, 2 and 99 and you'll get 101. Since you are adding two integers at a time and there are 100 integers between 1 and 100, you'll get 101, fifty times. Therefore, a shortcut would be to simply multiply 101 times 50 and get 5,050.


WhoFind three consecutive integers whose sum is 300?

The integers are 99, 100 and 101. There is also a set of consecutive even integers whose sum is 300. That set is 98, 100 and 102.


What is the Sum of odd integers from 1 to 100?

It is 2500.


What is the sum of all the digits of all the positive integers that are less than 100?

The sum of all the digits of all the positive integers that are less than 100 is 4,950.


What is The sum of the squares of two consecutive positive even integers is 340 Find the integers?

The sum of the squares of two consecutive positive even integers is 340. Find the integers.


What is the pattern for the sum integers 1 to 100?

It is 100*(100+1)/2 = 50500.


Java code to find the sum in all integer?

The following will sum all integers from 1-100. Adjust according to your needs.int sum = 0;for (int i = 1; i