It is 100*(100+1)/2 = 50500.
101
The sum of the integers from 1 to 100 can be calculated using the formula for the sum of an arithmetic series: ( S_n = \frac{n(n + 1)}{2} ), where ( n ) is the last integer in the series. Here, ( n = 100 ), so the sum is ( S_{100} = \frac{100(100 + 1)}{2} = \frac{100 \times 101}{2} = 5050 ). Therefore, the sum of the integers from 1 to 100 is 5050.
It is 2500.
n(n+1)/2 5050
SUM = 0: FOR N = 1 to 100: SUM = SUM + N: Next N: PRINT CHR$(11); "Sum ="; SUM: END
The sum of the integers from 1 to 100 inclusive is 5,050.
101
It is 2500.
n(n+1)/2 5050
The following will sum all integers from 1-100. Adjust according to your needs.int sum = 0;for (int i = 1; i
SUM = 0: FOR N = 1 to 100: SUM = SUM + N: Next N: PRINT CHR$(11); "Sum ="; SUM: END
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.
Write a program to find the number and sum of all integers from 100 to 300 that are divisible by 11
The sum of integers from 1 to 2008 = 2008*2009/2 = 2017063
The sum of all integers from 1 to 20 inclusive is 210.
It's easy to work it out yourself.... Multiply 100 by 49, add 50, add 100 - and you have your answer !
The sum of the integers from 1 through 300 is 44,850.