4.1 Given the sequence: 7 ; 12 ; 17 ; … … …

4.1.1 Write down the next two terms of the sequence. **(2)**

4.1.2 Determine the general term of the sequence in the form of T_{n} = an + b. **(2)**

4.1.3 Determine if **12 ^{5}** will be a term in above sequence.

**(3)**

4.1.4 Explain why any positive number ending with a 2 will form part of the sequence. **(2)**

4.2 Given the sequence: 3 ; 9 ; 17 ; 27 ; … … …

4.2.1 Write down the value of the next term of the sequence. **(1)**

4.2.2 Determine an expression for the **n ^{th}** term of the sequence.

**(5)**

4.2.3 Calculate the value of the first term that is greater than 269. **(4)**

4.3 A quadratic pattern has a second term equal to **6**, a third term equal to **2** and a fifth term equal to **-18**.

4.3.1 Calculate the second difference of the pattern. **(4)**

4.3.2 Calculate the first term.**(3)**

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