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we have to prove that
10+100+1000+10000+100000+...=-(1/9)
any ideas?
10+100+1000+10000+100000+...=-(1/9)
any ideas?
but note that what i have given as a "proof" is not really a proof at all. the series 10 + 100 + 1000 + ... doesn't converge. so my "proof" doesn't actually work.
I would have thought it obvious from the start that a sum of positive numbers cannot be negative!
!
What does G.P mean at first place? I am sorry i am not used to these, so i really don't know what they stand for?
can you tell me?
Yes, it diverges.i think after we find the sum of that geometric progression using a(1-rn)/(1-r), and if we evaluate the limit of the result, it turns out that the sum must be infinity. Is that right?
the error was when i let S = 10 + 100 + 1000 + ...so Murshid_islam what is the deal here? I can see that the series does not converge, however where is the problem on your proof? Is there a mathematical error, cause i could not see it, or what can we say about this?