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What is 1 plus 1 plus 1 plus 1?
The mater is that if you do 1+1=2 then just add the sum with its self, so you have 2+2=4 and 4 is the answer
What is 1 plus 2 plus 3 etc up to 100?
Oh, dude, you're hitting me with the math questions. So, when you add 1 plus 2 plus 3 all the way up to 100, you get... drum roll, please... 5050. Yeah, like, someone actually sat down and figured that out. Crazy, right?
What is the sum of the numbers from 1 to 100?
Sum of first n natural numbers is (n) x (n + 1)/2 Here we have the sum = 100 x (101)/2 = 50 x 101 = 5050
What is the sum of all the positive proper fractions with denominators less than or equal to 100?
Consider a denominator of r; It has proper fractions: 1/r, 2/r, ...., (r-1)/r Their sum is: (1 + 2 + ... + (r-1))/r The numerator of this sum is 1 + 2 + ... + (r-1) Which is an Arithmetic Progression (AP) with r-1 terms, and sum: sum = number_of_term(first + last)/2 = (r-1)(1 + r-1)/2 = (r-1)r/2 So the sum of the proper fractions with a denominator or r is: sum{r} = ((r-1)r/2)/r = ((r-1)r/2r = (r-1)/2 Now consider the sum of the proper fractions with a denominator r+1: sum{r+1} = (((r+1)-1)/2 = ((r-1)+1)/2 = (r-1)/2 + 1/2 = sum{r) + 1/2 So the sums of the proper fractions of the denominators forms an AP with a common difference of 1/2 The first denominator possible is r = 2 with sum (2-1)/2 = ½; The last denominator required is r = 100 with sum (100-1)/2 = 99/2 = 49½; And there are 100 - 2 + 1 = 99 terms to sum So the required sum is: sum = ½ + 1 + 1½ + ... + 49½ = 99(½ + 49½)/2 = 99 × 50/2 = 2475
What is 1 plus 2 until 100?
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.
