You are Here: Home >< Maths

# Quick question watch

1. In my 9231 Further maths syllabus, on mathematical induction it says -

recognise situations where conjecture based on a limited trial followed by inductive proof is a useful strategy, and carry this out in simple cases e.g. find the nth derivative of x(e^x).

If we try to do this for x(e^x), first we will differtiate it a couple of times and find the pattern and than finally prove the guess with induction. Am I correct or is their another way?
2. (Original post by Rishabh95)
In my 9231 Further maths syllabus, on mathematical induction it says -

recognise situations where conjecture based on a limited trial followed by inductive proof is a useful strategy, and carry this out in simple cases e.g. find the nth derivative of x(e^x).

If we try to do this for x(e^x), first we will differtiate it a couple of times and find the pattern and than finally prove the guess with induction. Am I correct or is their another way?
Yes, you're right. The idea is that if you do something recursively a few times and spot a pattern, then you can make a conjecture about the nth recursion and then prove that it's true by induction.
3. (Original post by nuodai)
Yes, you're right. The idea is that if you do something recursively a few times and spot a pattern, then you can make a conjecture about the nth recursion and then prove that it's true by induction.
Thanks for the help!

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: April 8, 2011
The home of Results and Clearing

### 2,578

people online now

### 1,567,000

students helped last year
Today on TSR

### University open days

1. SAE Institute
Animation, Audio, Film, Games, Music, Business, Web Further education
Thu, 16 Aug '18
2. Bournemouth University
Fri, 17 Aug '18
3. University of Bolton
Fri, 17 Aug '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams