There is a formula, called the formula for an arithmetic series, which you can use to calculate this: n/2 * [2a + (n - 1)d] Where: n is the number of terms (100) a is the first term (1) d is the difference between each term (1) Substituting these values we get: 100/2 * [2 + (100 - 1) * 1] = 50 * (2 + 99) = 5,050
1+2+3+4.....+100 = 101*50= 5050
The sum of the numbers up to 100 is equal to (100 x 101)/2 = 5050
To solve for the sum of the first n number of cubes, use (1+2+3+4+5...+n)2. So for n=100, (1+2+3+4+5...+100)2 = c (cubes) (101 * 50)2 = c 50502 = c c = 25502500
1/2+1/2=1 1/3+1/3=2/3 1-2/3=1/3 Answer: 1/3
Oh honey, I'm not a human calculator. But if you want to know the sum of 1 plus 2 repeated until 100, it's 5050. Just add up the numbers from 1 to 100 and voilà, you've got your answer. Math can be a real snooze fest, but hey, at least it's straightforward.
1+2+3+4.....+100 = 101*50= 5050
The sum of these composite numbers, including 100, is 3989.The sum of all numbers between 1 and 100 is 5,050. From this we need to subtract the sum of 1 plus all the prime numbers below 100. The sum of the primes is 1,060. Subtracting (1 + 1060) or 1,061 from 5,050 yields 3,989.
1 = 1 = 1^21+3 = 4 = 2^21+3+5 = 9 = 3^21+3+5+7 = 16 = 4^2Thus the pattern is that the sum if the first n odd numbers is n^2 or1+3+...+(2n-1) = n^2So, putting n = 100, gives the sum as 100^2 = 10000.
5050
The sum of the numbers up to 100 is equal to (100 x 101)/2 = 5050
To solve for the sum of the first n number of cubes, use (1+2+3+4+5...+n)2. So for n=100, (1+2+3+4+5...+100)2 = c (cubes) (101 * 50)2 = c 50502 = c c = 25502500
its 5035the summarian notation tells you that(sum of all #from 0 to a number'N'(sum of all #from 0 to N) = (n)+(n-1)+(n-2)+(n-3)+...+(2) +(1) or(sum of all #from 0 to N) = (1)+ (2) + (3) + (4)+...+(n-1)+(n)the two different sums are aligned by columns. now add the two colunms accordingly and you'll get2x(sum of all #from 0 to N)=(n+1)+(n+1)+...+(n+1) (n+1)is added n timesso2x(sum of all #from 0 to N) =n(n+1)(sum of all #from 0 to N) =n(n+1)/2so (sum of 5 to 100) = (sum of 0 to 100)- (sum of 0 to 5)=100(101)/2 - 5(6)/2 = 5050 - 15 = 5035
The sum of prime numbers between 1 and 25 is 100. 2 + 3 + 5 + 7 + 11 +13 +17 + 19 + 23 = 100
It is instructive to note that you can rewrite 1+2+3+4....+99+100 as 1+100+2+99+3+98....+50+51 Then you can group each pair of numbers as (1+100)+(2+99)+(3+98)+...+(50+51) All of these couplets add up to 101, and there are 50 of them. Thus the sum of the first 100 whole numbers is 50x101. This can be calculated at 5,050.
You add the numbers in a loop. Here is an example in Java:int sum = 0;for (int i = 1; i
3 + 2 = 5. (sum) 3 - 2 = 1. (difference)
100/3-1, 100/3 and 100/3+1 that is, 99, 100 and 101.