## anonymous 5 years ago 1+2+3+...+49+50=

1. anonymous

s=n(n+1)/2

2. anonymous

50.51/2=25.51

3. anonymous

$\sum_{k=1}^{n}k=\frac{n(n+1)}{2} \implies \sum_{k=1}^{50}=\frac{50(51)}{2}=1275$

4. anonymous

don't you think it's much much easier to be solved

5. anonymous

ya.........

6. anonymous

....No? That is the easiest way to solve it? lol

7. anonymous

We can do this by two methods: 1.The Formula Method(malevolence has already done it) 2.The Gaussian Pairing Tool : 50+1=51,49+2=51......therefore 1+2+.......+49+50 = 51*50/2 = 1275

8. anonymous

You could just add them up but you'll get the same number...

9. anonymous

lol

10. anonymous

i mean just solve it not writing the formula

11. anonymous

dnt complicate it aron

12. anonymous

The "Gaussian Pairing Tool" is the formula...

13. anonymous

Its just generalized to n things being added...I just wanted to show you where it came from...Type it into wolfram if you just want the number.

14. wasiqss

we can also use programing :D

15. anonymous

lol

16. anonymous

no dont....

17. wasiqss

w8 lemme make it :D

18. anonymous

19. anonymous

hey let's pass it . this question doesn't worth to discuss on

20. wasiqss

tanu did that in high school bt may b i will revise on tuesday and then teach u ok

21. anonymous

it's for elementry school

22. anonymous

malevolence ur good

23. wasiqss

24. wasiqss

a program that calculates sum of arithematic series with difference =1