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Part 1:

Find the gradient of the chord which passes through the  and  on the curve

Explain how we could improve our estimate for the gradient at

 

Part 2:

 

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You are told that

Find an exact expression for

Find an exact expression for

 

 

 


 

Part 1:

Find the 2nd and 3rd terms of the sequence

 

Part 2:

Find

 

Part 3:

Jack receives £10 in the first month, £15 in the next month, £30... and so on.

How long before he receives £1000 in one month?

How long before he has received £1000 in total?


 

A sector has a radius of 8cm and an area of

 


 

 

 

Find the values, in exact form, for which

 

 

 

 

 

 

 

 

 

 

 

 

 

1

2

3

4

5

6

500

800

1200

1900

3000

4800

 

Assuming , by sketching an appropriate graph find  and