3.2 Homework Due Tue 17th March

To be done in front of books neatly. Show all working out. Marks: 23

Sequence notes

1. Solve \[ \begin{align*} 3&x+2y=13 \\ -5&x+6y=81 \end{align*} \]

   [3 marks]

2. For the sequence $-3,2,7,12...$, find $u_n$ and $u_{50}$

   [3 marks]

3. For the sequence $24,21,18,15...$, find $u_n$ and $u_{50}$

   [3 marks]

4. True or false, $-134$ is in the sequence $36,32,28,....$. Give a reason for your answer.

   [2 marks]

5. Write down the first five terms of the sequence $u_n=12-5n$

   [2 marks]

6. How many green tiles would there be in pattern 120?
   

   [2 marks]

7. Expand $(3x+2)(5x-4)$

   [2 marks]

8. Factorise $x^2-3x-28$

   [2 marks]

9. Find $u_n$ for $-1,2,7,14,23,....$

   [2 marks]

10. Find $u_n$ for $2,16,54,128,250....$

    [2 marks]