Pure Maths
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Pure Maths 12
Latest content Pure Maths
Answer ALL questions. 
 
 
a =2 +1, k … 
k 
⦁	It is suggested that the sequence	k 
 
produces only prime numbers. 
 
 
 
a	a	a 
⦁	Show that	1,	2 and	4 produce prime numbers. 
 
 
(2 marks) 
 
 
⦁	Prove by counter example that the sequence does not always produce a prime number. 
(2 marks) 
 
 
 
⦁	Find the angle that the vector a =4i - j + 3k makes with the positive y-axis. 
 
 
(3 marks) 
 
 
 
 
 
æ xö 3 
g(x) =3sin 
3.	∣è 6 
∣J 
 
1 
-	x- 1 
10 
 
 
, –40 < x < ...
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