the question is as above, I don't know how to write ic and ih. can anyone give a complete answer? appreciate it
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3$|(z_1+\cdots+z_{n-1})+z_n|\le |z_1+\cdots+z_{n-1}|+|z_n|$ now do the same to $|z_1+\cdots+z_{n-1}|$ – user160738 Nov 18 '16 at 18:41
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yes, but how about the steps.. it looks like a recursion – gonda Nov 18 '16 at 18:44
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@gonda induction and recursion are fundamentally the same thing, that's just terminology. – Adam Hughes Nov 18 '16 at 18:45
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|(z1+⋯+zn−1)+zn|≤|z1+⋯+zn−1|+|zn| is it a theorem？ – gonda Nov 18 '16 at 18:49
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can I use it directly? – gonda Nov 18 '16 at 18:49