Disclaimer: This isnt for mathematically challenged individuals. If you dropped Calculus in HS or College, this would be a good time to close your browers.
This is true story. This engineer was pissed off at Verizon because they couldnt "count"
so he sent them a check worth this many dollars
can you figure out for how much is this check worth? No :google: please.
PS: I found this funny, this is why its in Joke forum instead of Image Gallery.
(Story to follow soon)
When the power of love overcomes the love of power, the world will know peace.- Jimi Hendrix
i should try that ...... i wonder what they did when received the check? if they actually tried to figure that out or were they afraid to get it wrong???
It doesn't amount to any number because that Sigma notation junk is used for sequences and since there's no given n, we'll never know what the actual amount is! But, what we can tell is that the higher the figure n is, the lower the overall number is, because the denominator in which n is the exponent will increase at n increases, and since there is a 1 in the numerator, that would make it a teeny weeny number.
I'm taking Calc. *nerd glasses*
"the spirit of a hustler and the swagger of a college kid." <3
It doesn't amount to any number because that Sigma notation junk is used for sequences and since there's no given n, we'll never know what the actual amount is! But, what we can tell is that the higher the figure n is, the lower the overall number is, because the denominator in which n is the exponent will increase at n increases, and since there is a 1 in the numerator, that would make it a teeny weeny number.
I'm taking Calc. *nerd glasses*
I thought its given that n=1
try solving it now and don't forget to put your "nerd glasses"!
"I don't like to commit myself about heaven and hell - you see, I have friends in both places.â€
~Mark Twain
haha nice one 5abi bhai the real fun lies not in summation but in e^j*pi, which actually is -1 and added to 0.002 and i think the summation comes out to be 0.25 will give a negative result!!which means hes not drawing any money
It doesn't amount to any number because that Sigma notation junk is used for sequences and since there's no given n, we'll never know what the actual amount is! But, what we can tell is that the higher the figure n is, the lower the overall number is, because the denominator in which n is the exponent will increase at n increases, and since there is a 1 in the numerator, that would make it a teeny weeny number.
I'm taking Calc. *nerd glasses*
Thats not even a layman's explanation. You flunked your pre-calc class :P
The sigma notation is a series, a summation, as n goes from 1 to infinity.
Writing out the first few numbers in the series:
1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128..... ~ 0.992..
Adding this summation we can deduce that the summation approaches 1 as n approaches infinity. For all practical purposes the sumamtion = 1
Now the other part is Euler's Forumla: e ^ (ix)= cox + isinx
substituting x= pi, we get
e ^ (i*pi)= -1
Thus the expression that he wrote in the above check reduces to the following:
0.002 + e (i*pi) + ∑1/2^n = 0.002 -1 + 1 = 0.002
He wrote a check for $ 0.002 which is 2/10th of a cent and for all practical purposes involving a financial instituion like a bank, it amounds to nuthing, as in ZERO.