Further Mathematics: Post your doubts here!

[fhdaly]

We get it by observing the three values you have got. Since, the -ve sign is bein alternated, we know that the first value is (-1)^n. Further, observing the values show us that it has to have factorial. This is a general rule of forming a conjecture. It's just a proposition from your side.

Wonderful, thanks.

 

[fhdaly]

October / November 2004 Question 8 ....again mathematical induction. And a tricky one indeed.

 

[abcde]

October / November 2004 Question 8 ....again mathematical induction. And a tricky one indeed.

AoA! The first part is not so difficult to prove. Here's my attempt.

 

[fhdaly]

AoA! The first part is not so difficult to prove. Here's my attempt.View attachment 3253

w/s...thts awesome, thanks.

 

[fhdaly]

Where can I study mathematical induction and sequence from? are there any good notes on internet?

 

[fhdaly]

2007 MAY/JUNE Q8 mathematical induction.
Plus
Can you please tell me where I can study mathematical induction and sequence from? are there any good notes on internet?

 

[abcde]

2007 MAY/JUNE Q8 mathematical induction.
Plus
Can you please tell me where I can study mathematical induction and sequence from? are there any good notes on internet?

I'm not exactly sure if my attempt is correct. But have a look.
I'm not aware of any good material on induction on the internet except for these videos that cover the basics:
http://patrickjmt.com/proof-by-induction-example-1/
http://patrickjmt.com/proof-by-induction-example-2/
http://patrickjmt.com/proof-by-induction-example-3/
Check out the F.Maths books by 'Gaulter' as well as 'Bostock and Chandler'. You'll find quite a many examples there.

 

[fhdaly]

The solution's quite cool. thanks.
I've got both the books, but are not comprehensive enough.

 

[fhdaly]

T

I'm not exactly sure if my attempt is correct. But have a look.View attachment 3255
I'm not aware of any good material on induction on the internet except for these videos that cover the basics:
http://patrickjmt.com/proof-by-induction-example-1/
http://patrickjmt.com/proof-by-induction-example-2/
http://patrickjmt.com/proof-by-induction-example-3/
Check out the F.Maths books by 'Gaulter' as well as 'Bostock and Chandler'. You'll find quite a many examples there.

Thanks for the videos too...helped.

 

[fhdaly]

OCTOBER/NOVEMBER 2007 Q2. METHOD OF DIFFERENCES.

 

[fhdaly]

OCTOBER/NOVEMBER 2005 Q2. MATHEMATICAL INDUCTION.

 

[fhdaly]

OCTOBER/NOVEMBER 2003 Q2 WHAT IS THE SECOND PART??? I CAN'T UNDERSTAND A WORD.

 

[fhdaly]

OCTOBER/NOVEMBER 2004 Q5. SUMMATION OF SERIES. Don't mind me asking many questions, i am relying on you.

 

[fhdaly]

ANOTHER! OCTOBER/NOVEMBER 2005 Q12. REAL TOUGH ONE!

 

[abcde]

OCTOBER/NOVEMBER 2005 Q2. MATHEMATICAL INDUCTION.

 

[fhdaly]

View attachment 3258

Got it, many thanks. Have a look at other questions too please.

 

[fhdaly]

MAY/JUNE 2005 Q8 SECOND PART. MATHEMATICAL INDUCTION.

 

[fhdaly]

OCTOBER/NOVEMBER 2005 Q8 SECOND PART. What's it's secret?

 

[abcde]

MAY/JUNE 2005 Q8 SECOND PART. MATHEMATICAL INDUCTION.

AoA!
Here:

 

[fko]

I'm not exactly sure if my attempt is correct. But have a look.View attachment 3255
I'm not aware of any good material on induction on the internet except for these videos that cover the basics:
http://patrickjmt.com/proof-by-induction-example-1/
http://patrickjmt.com/proof-by-induction-example-2/
http://patrickjmt.com/proof-by-induction-example-3/
Check out the F.Maths books by 'Gaulter' as well as 'Bostock and Chandler'. You'll find quite a many examples there.

Alhamdolillah these videos helped alot. If u can give us the link for videos for summation of series it will be greatly admired.