Can someone show me how to do the following proof using mathematical induction:

Assuming that the triangle inequality |a+b| |a|+|b| holds for any two numbers a and b, show that

| | | |+| |+...+| |

for any n numbers.

Thank you.

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- Aug 26th 2011, 07:56 AMBERMES39Mathematical induction
Can someone show me how to do the following proof using mathematical induction:

Assuming that the triangle inequality |a+b| |a|+|b| holds for any two numbers a and b, show that

| | | |+| |+...+| |

for any n numbers.

Thank you.

- Aug 26th 2011, 08:02 AMFernandoRevillaRe: Mathematical induction
: In the induction step consider and .__Hint__ - Aug 26th 2011, 05:20 PMBERMES39Re: Mathematical induction
Thank you for the hint. Still, I will appreciate if someone gives me the full solution.

- Aug 26th 2011, 05:28 PMTKHunnyRe: Mathematical induction