## Trending News

# is it true that if you add 1-100 you will get 5000?

it was on a game board, but does that make it true? anyway, so it basically said that adding 1+2+3 and so on to 100 would get 5000. i did it and i have never gotten 5000, no mistakes either. do you know?

### 11 Answers

- Vincent GLv 71 decade agoFavorite Answer
If you add 1 to 100, you have 101. Then if you add 2 to 99, you also get 101.

See a pattern?

1 + 100

2 + 99

3 + 98

(...)

50 + 51

Basically, you have 50 operations that add to 101 each, so the total is 5050.

- 1 decade ago
Yes I remember the question, add all the numbers from 1 through 10.

here is what the clever little girl did:

1+2+3+4+5+6+7+8+9+10

she added the first and the last 1+10=11

then she saw a pattern, the next, 2, and the next to last, 9 also =11

So, her very quick answer was 5 (11)=55

Now do the same, adding numbers from 1 to 100.

First, 1+100=101

There are 50 of those repetitions, so the answer is 50(101)=5050, not 5000

- Anonymous1 decade ago
No, but that's close. You will get 5050. Here's why:

Imagine you are looking at a piece of paper that has two columns of numbers. The first has all the numbers from 1-50 going up the page, the second has all the numbers from 51-100 going down. If you add up each pair of numbers (1 & 100, 2 & 99, 3 & 98, etc.), you will notice they will all add up to 101. As each column has 50 numbers, there will be 50 pairs of numbers that add up to 101. 50(101)=5050

- 1 decade ago
There is a formula for this summation

S = [n(n+1)]/2

Where n is how high you're counting, in this case 100.

So let's plug in and see what happens

S = [100(100+1)]/2

S = [100(101)]/2

S = 50(101) [I divided 100 by 2 to get 50]

S = 5050

Just over 5000

- How do you think about the answers? You can sign in to vote the answer.
- clewisLv 44 years ago
The D2X replaced into and is an incredible digital camera interior the main wonderful palms, yet you're asking the incorrect question here. what's going to a D2X do for you that the insurrection won't? What function are you lacking from the digital camera you presently have? do you recognize a thank you to apply each and every function of your present day digital camera? Are you comfortable capturing in instruction manual? As a newbie any action picture or digital SLR with a equipment lens could desire to do to get all started. As your ability and information progression, you will start to discover obstacles of your equipment. At that element, you may desire to evaluate what lens or physique might assist you to strengthen. i could particularly have solid lenses on a elementary physique particularly than a consultant physique with the equipment lens. do no longer make the errors that many human beings do in thinking that a bigger/greater advances/greater costly digital camera will promptly make you a bigger photographer. does not artwork that way. As for e book concepts, something by potential of Bryan Peterson, exceedingly "information exposure" could be a solid start up. Scott Kelby is robust in helping novices get all started doing greater suitable pictures. recognize your digital camera by potential of thoroughly examining your digital camera instruction manual. in case you don't comprehend the terminology, get a e book on elementary pictures. Take a class in case you may, or connect a digital camera or pictures club.

- shinsplints99Lv 71 decade ago
SSDD is correct, Fungus forgot one.

1 + 99

2 + 98

3 + 97

....

49 + 51

That gives 49 100's. Then there is a 50 and the 100. = 4900 + 50 + 100 = 5050.

The easy way is to use the formula SSDD showed you.

- Anonymous1 decade ago
there is a formula for this

n(n+1)/2

where n is the number till which u are counting,

try it out

1+2+3+4= 10

n=4

4(4+1)/2 = 4x5/2 = 10 :)

so for 100, it is 100x101/2 which is 5050

EDIT :- Fungus, you are wrong. there are 50 100s and one fifty, that makes it 5050

- Anonymous1 decade ago
You can't add 1-100 to make 5000.

If you pair them up, there are 49 100s and a 50.

It should sum to 4950.

- 1 decade ago
there actually is a function in the calculator that will do it for you. i have forgotten it though