You are Here: Home >< Maths

1. FP1 induction example

Prove f(n) is divisible by 576 for n=1,2,3,4.....

f(1)=576

If (for some k >1) f(k) is divisible by 576 then for some natural number m.

etc..

An interesting problem http://www.thestudentroom.co.uk/show....php?t=1293042

____________________

____________________

C=...
S=...

If w is a cube root of 1 then theta=0, 2pi/3, 4pi/3

(1-w)^6 = -27, 0, 27
_______________________________

Step 1 2010 Q13

P(first text in second hour) = P(0 in first hour)*P(>0 in second hour)

gives the required equation

For the two positive values of lambda.. one is easy, for the other show that for 0<p<1/4

Starting with leads to so and so

Mildred's lamdas satisfy

so using product of roots

The combined rate for the two phones is subbing this in for lambda in the given equation results in p(1-p) as the required probability.

### 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: July 11, 2009
Today on TSR

### Edexcel C4 Maths Unofficial Markscheme

Find out how you've done here

### 2,202

students online now

Exam discussions

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