Question 4

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 12⁵ 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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