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## Rohangrr 3 years ago can you solve it The value of 1 -(2 -(3 -(.....100.....) is..........

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1. shubhamsrg

100's the last term right ?

2. Rohangrr

hi shubham

3. shubhamsrg

is hi ka matlab main yes samjhun? :P

4. Rohangrr

okay

5. PhoenixFire

Wouldn't you just work your way out from the inside. 3-100=-97 2-(-97)=99 1-99=-98

6. Rohangrr

What??

7. Rohangrr

@PhoenixFire you are wrong! nice try

8. PhoenixFire

How is it wrong?

9. PhoenixFire

Oh.. wait

10. PhoenixFire

Associative rule. it's the same as 1-2-3-100... work left to right. 1-2=-1 -1-3=-4 -4-100=-104

11. Rohangrr

for u r support I will give you options : A) - 40 B) - 50 c) 50 d) -100 e ) 100 f) 99

12. sauravshakya

It will be like: 1-2+3-4+5-6+7...-100

13. sauravshakya

Sum odd number from 1 to 100 - sum of even number from 1 to 100

14. Rohangrr

Still m not satisfied !! more proofs needed

15. PhoenixFire

What do you mean by (......100.......)

16. Rohangrr

100

17. sritama

yeah why there is (.....100...) ?

18. PhoenixFire

so it's 1-(2-(3-(100))).... why did you add ........

19. Rohangrr

hmmmm..................

20. sritama

you could write it like @PhoenixFire , what is the significance of those dots?

21. Rohangrr

for your knowledge its INEQUALITY QUESTIOn

22. Rohangrr

:P

23. sauravshakya

Sum of odd number from 1 to 100 -sum of even number from 1 to 100 2500-2550 -50

24. Rohangrr

A simple example : 1/2·3/4·5/6· ... ·99/100 < 1/10. solution : A(n) < 1/√3n,

25. hartnn

its just 1-2+3-4+5-6+......100 isn't it ?

26. hartnn

then @sauravshakya is right

27. Rohangrr

@sauravshakya you were correct but still add a thing and a medal for u is waiting! :p

28. sauravshakya

?

29. Rohangrr

!!

30. sritama

how can it be Sum of odd number from 1 to 100? there is -3 not 3

31. sauravshakya

1 -(2 -(3 -(.....100.....) =1-2+(3-(...100...) =1-2+3-(4-(5...100...)

32. shubhamsrg

lets start from inside,, ............-(95 - (96 - (97 - ( 98 - ( 99 -100) ) ) ) ) ) ............-(95 - (96 -(97 - (98 - 99 + 100 ) .... ..........-(95 - (96 - (97 - 98 + 99 - 100 ).. .........-(95 - 96 + 97 - 98 + 99 - 100) sign alternates everytime for each no..i.e. 2 consecutive nos. have opposite signs.. in the end, we shall have 1- 2 +3 - 4 ......... -100 (1+3+5......99) - (2 +4 +6 ...100) 25(100 - 102) =-50 was that corretc ?

33. sauravshakya

Open the bracket one by one and see

34. sauravshakya

YEp very correct @shubhamsrg

35. Rohangrr

good @shubhamsrg

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