MATHS ?

TODAY A PHYSICIST DOES A MATHS 


There is the common question that maybe most of us  are unable to answer it .

so let there is continuous  decimal numbers  going on for example 0.166666666... to infinite

Now we have to put this into a fraction form easy pesy :)

so we got      x=0.1666666.  than after that we add 100 to x because we two numbers before decimal
 so it would be like this  now :

x=0.1666
100x=0.166666

=> 99x= 16.5  because one from above will cancel the 6 in the decimal place
now we divide  so we got => x=16.5/99    .. 1/6  so this is easy answer

Let say there is a sequence where 1 + 2 + 4 + 8 +16 .. to infinite  :D :D
 so we'll call this   squence 1 or perhaps S1 
 S1=1+ 2 + 4 + 8 + 16 .. to infinite 
 and now there is an other sequence where the first number is double then the previous one ..

S2 = 2 + 4 + 8 + 16  ...  to infinite
..........................................................................................................

Now we multiply the S1 with minus to cancel out the both  sequence so it will be like this :

S1 = -1 - 2 - 4 -8 - 16 .......
S2= 2 + 4 +8+16.......

 hmmmmm now if you will observed that everything cancel out but =-1 is left
as this equation is keep going to infinite then that means   INFINITE = -1  :D 

VOILA !!!! CORRECT ME IF I'M WRONG  IN THE COMMENTS BELOW :)