![Weser17](/avatars/13857.jpg)
Weser17
17.11.2019 •
Mathematics
How do you add all even numbers that are less than 123?
Solved
Show answers
More tips
- P Philosophy Agnosticism: Opinion or Belief?...
- C Computers and Internet How to Calibrate Your Monitor: Useful Tips and Recommendations...
- H Health and Medicine Hangover: How to Get Rid of It Quickly?...
- A Auto and Moto How to Start a Diesel Engine in Cold Weather?...
- A Auto and Moto Which alarm system to choose?...
- P Photography and Videography What is lens calibration and why is it needed?...
- S Science and Technology How to Choose a Picture Frame: Tips and Recommendations...
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- C Computers and Internet How to Choose an Uninterruptible Power Supply (UPS) for Your Computer: Expert Tips...
Answers on questions: Mathematics
- M Mathematics When a parent says You constantly do that, what do they mean by constantly? Share one thing that you do constantly....
- M Mathematics Please help A tree reached a height of 300 feet. It grew 1/4 of a foot every 1/12 of an hour. How long did it take the tree to reach 300 feet in hours?...
- E English QUICK I NEED HELP!! Can Someone Write a Conclusion for me?...
- M Mathematics M 2 =45 degrees and m 7 is three times m 4. are the lines a and b parallel?...
- M Mathematics Triangle def is an isosceles, so zdef 2 zdfe. angle def measures 75° what is the measure of angle cfd? 105° 125 150° 165 0...
- B Biology Insanite bote 3. Describe the virulence property of virus ? why are they harmful excplain on the basis of corona virus. ans...
Ответ:
The formula for the sum of the first n positive evens is:
Step-by-step explanation:
122 is the highest even less than 123.
If we solve 2n=122 we can find what number term 122 is in the sequence of positive even numbers.
2n=122
Divide both sides by 2:
n=61
So 122 is the 61st positive even integer. This means we are adding 61 positive even integers.
2(1)+2(2)+2(3)+2(4)+2(5)+2(6)+..........+2(61)
Factor out out 2:
2(1+2+3+4+5+6+...+61)
We could write in summation notation if you prefer:
There is a formula for computing the following:
So we have the following:
So if you wanted to know the sum of the first n even numbers it is:
Examples:
The sum of the first 4 positive even numbers:
Now let's put our formula to the test:
The sum of the first 10 positive even numbers:
Now let's put out formula to the test again:
So as you can see the formula works.
Let me know if you want me to actually prove with mathematical induction.
Ответ:
The fraction 0/4 does represent something. What it represents is zero. Suppose that I have 12 pencils to distribute to 4 students so that each student gets the same number of pencils. How many pencils do I give to each student? This is the classic division problem.
Hope this helps, have a great day, have a great weekend and stay safe!
Also Happy Halloween! :) :D :3