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1 + 2 + 1 = 4
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What is the sum of 1 and 1?
The sum of 1 and 1 is 2.
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 the sum of the digits of the number 11?
1 + 1 = 2 The sum of the digits is therefore 2.
Can the sum of two mixed numbers equal 2?
Only if you include negatives. The sum of 3 and 1/2 + -1 and 1/2 equals 2.
What is an equation to find the sum of all the integers from 1 to 2010?
To calculate the sum of the numbers 1 to n, the formula is: sum = n(1 + n) / 2 So, an equation to find the sum of the integers 1 to 2010 is: sum = 2010 x (1 + 2010) / 2
What is the sum of 1 and 1?
The sum of 1 and 1 is 2.
How do you get the sum of something?
Sum is the term for the answer to addition. Any time you add something, you get the sum. 1 + 1 = 2 2 is the sum.
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 the sum of something?
What you get when you add two things together. 1 + 1 = 2. The sum of 1 and 1 is 2.
What is the sum of the digits of the number 11?
1 + 1 = 2 The sum of the digits is therefore 2.
When Rolling 2 dice which outcome is more likely a sum of 2 or a sum of 4?
A sum of 4 is more likely. Out of the 36 possible outcomes with a pair of 6-sided dice, only one will have a sum of 2 {1-1}. Three of the possibilities sum to 4. {1-3, 2-2, 3-1}
What is the sum of the first 5 numbers squared?
The question is ambiguous.Does it want the sum of the squares, or the square of the sum ? They're different.Here are both:1). Sum of the squares: . (1)2 + (2)2 + (3)2 + (4)2 + (5)2 = 1 + 4 + 9 + 16 + 25 = 552). Square of the sum: . (1 + 2 + 3 + 4 + 5 )2 = (15)2 = 225
Can the sum of two mixed numbers equal 2?
Only if you include negatives. The sum of 3 and 1/2 + -1 and 1/2 equals 2.
Can someone translate this the sum of a number and ten is the difference of -6 and -6 increased by the sum of -1 and -1?
Do this in reverse. The sum of -1 and -1 is -1+-1=-2 The difference of -6 and -6 is -6-(-6)=-6+6=0 0 increased by -2 is 0+-2=-2 The sum of 10 and -2 is 10+-2=8 Translation: 8
What is an equation to find the sum of all the integers from 1 to 2010?
To calculate the sum of the numbers 1 to n, the formula is: sum = n(1 + n) / 2 So, an equation to find the sum of the integers 1 to 2010 is: sum = 2010 x (1 + 2010) / 2
CAn the sum of two mixed numbers be two?
Only if you include negatives. The sum of 3 and 1/2 + -1 and 1/2 equals 2.
What is the sum of the first 1400 consecutive odd numbers?
The sum of the first 1400 odd numbers is 1960000. The sum of an arithmetic progression is given by: sum = n/2 (2a + (n-1)d) where n is the number of items (in this case n = 1400) where a is the first number (in this case a = 1) where d is the common difference between terms (in this case d = 2) Thus: sum = 1400/2 × (2×1 + (1400 - 1)×2) → sum = 1400/2 × 2(1 + 1400 - 1) → sum = 1400 × 1400 = 1960000
