Alternating Partial Harmonic Series (1 Viewer)

[asharnadeem]

Prove that 1-1/2+1/3-1/5+.....(-1)^n-1(1/n)>0 for all positive n integers by mathematical induction.

 

[Qeru]

Prove that 1-1/2+1/3-1/5+.....(-1)^n-1(1/n)>0 for all positive n integers by mathematical induction.

There really isn't a need for induction here. All you have to note is that and and so on until add all of these inequalities and you get your desired result.

 

[Etho_x]

There really isn't a need for induction here. All you have to note is that and and so on until add all of these inequalities and you get your desired result.

Just wanted to drop by and say that it’s 1:49am and it’s illegal for your brain to think like this at this time of night

My job is done and I bid you farewell

 

[idkkdi]

Prove that 1-1/2+1/3-1/5+.....(-1)^n-1(1/n)>0 for all positive n integers by mathematical induction.

group into pairs first two in one pair 3 and 4 in second pair. 1st number bigger than 2nd number every time.
for induction proof we assume two cases.
(-1)^n 1/n+1 where n is odd. positive pairs + positive number. trivial
where n is even.
sum of positive pairs. trivial.

 

[Qeru]

Just wanted to drop by and say that it’s 1:49am and it’s illegal for your brain to think like this at this time of night

My job is done and I bid you farewell

I'm a night person

 

[Etho_x]

I'm a night person

You’re a god I can’t say much more to that

 

[idkkdi]

I'm a night person

You’re a god I can’t say much more to that

he forgot the case where its an odd number of numbers and not all can be grouped into pairs .

 

[Etho_x]

he forgot the case where its an odd number of numbers and not all can be grouped into pairs .

Tbh I haven’t even started on mathematical induction yet so I’m just randomly saying shit LMAO

 

[Qeru]

he forgot the case where its an odd number of numbers and not all can be grouped into pairs .

I assumed it was obvious guess I should have explained more.

 

[Drdusk]

group into pairs first two in one pair 3 and 4 in second pair. 1st number bigger than 2nd number every time.

Grandi’s series would like to: Know your location.