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That was my reaction too: "This is clearly stupid". The seemingly correct answer to me is that the sum is undefined. Also 1-1+1-1+1-1...!=0.5. That also has to
by tormeh 10y ago
That was my reaction too: "This is clearly stupid". The seemingly correct answer to me is that the sum is undefined. Also 1-1+1-1+1-1...!=0.5. That also has to be undefined. I'm not even sure "sum" makes sense as a concept when applied to non-convergent series. But that's just my intuition.
- CorvusCrypto 10y agoInterest, with positive or negative context, is interest nonetheless imo. (clarified language to refer to context rather than ambiguous use of "negative")
- nulbyte 10y agoThat the word negative denotes the absence of what it describes would indicate that negative interest is not interest.
- fantispug 10y agoYou're right, in the sense that the partial sums are always 0 or 1, so 0.5 away from 0.5. However the mean of the partial sums converges to 0.5 (this is called Cesàro summation). It converges "on the average" towards 0.5. However this isn't normally what people mean by convergence.