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use this formula: S=(N/2)(F+L) S= the sum of the first 100 positive even integers N= the number of terms F= first term L=last term Since we are using the first 100 positive integers we will replace "N" with 100. so it will look like this : S=(100/2)(F+L) Next we must substitute the "F" with the first positive term which is the number 2. So now it looks like this: S=(100/2)(2+L) We use the number 2 because our positive integers are 2,4,6,8,10,12...... you get the picture. Now we must substitute the "L" with the last positive term which is 200. As you probably guessed it will look like this: S=(100/2)(2+200) We use the number 200 because it is the last positive even integer. If we used 202 then that would have meant we used the 101th positive even integer and we don't want to do that. == == We should solve the numbers inside the parenthesis first. S=(100/2)(2+200) 100 divided by 2 = 50 So: S=50(2+200) 2+200=202 That means: S=50(202) 50 x 202 = 10,100 Finally: S=10,100 There you go! Wasn't that easy? Note: This formula only works if you are looking for the sum of the first 100 positive or negative, even or odd integers. It sucks cause this formula is the Bomb right? Oh well
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What percentage of the first 100 positive integers contains no even digits?
50%
What are the integers between 0 and 100 whose positive square roots are integers?
What are the integers between 0 and 100 whose positive square roots are integers?
What is the sum of the first 100 positive even numbers?
The sum of the first 100 positive even numbers is 10,100.
What is 1 plus 2 plus 3 etc up to 100?
The sum of the first n positive integers can be calculated using the formula n(n+1)/2. In this case, n=100, so the sum of the first 100 positive integers is 100(100+1)/2 = 100(101)/2 = 5050.
What is the average of the positive integers from 1 to 100 inclusive?
It is 50.5
Sum of the first 100 positive even integers?
10100.
What percentage of the first 100 positive integers contains no even digits?
50%
How many are the first 100 positive integers are divisible by 7?
(7*100*101)/2 = 35,350 jpacs * * * * * What? How can there be 35,350 integers in the first 100 integers? There are 14 of them.
What are the integers between 0 and 100 whose positive square roots are integers?
What are the integers between 0 and 100 whose positive square roots are integers?
What is the sum of the first hundred positive odd integers subtracted from sum of the first hundred positive even integer?
Should be 50! Every odd integer is 1 less than the corresponding even integer and there are 50 of each in 100...
What is the sum of the first 100 positive even numbers?
The sum of the first 100 positive even numbers is 10,100.
How many positive integers from 1 to 100 can be expressed as the product of two even numbers?
There are 25 of them.
What are the last two digits in the sum of factorials of the first 100 positive integers?
They are 13.
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.
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 1 plus 2 plus 3 etc up to 100?
The sum of the first n positive integers can be calculated using the formula n(n+1)/2. In this case, n=100, so the sum of the first 100 positive integers is 100(100+1)/2 = 100(101)/2 = 5050.
How many positive integers between 100 and 999 are divisible by 3 or 4?
Between 100 and 999 there are 448.
