Question: 2.1 Given the following quadratic number pattern: 5 ; -4 ; -19 ; -40 ; ... 2.1.1 Determine the constant second difference of the (2)

2.1 Given the following quadratic number pattern: 5 ; -4 ; -19 ; -40 ; ... 2.1.1 Determine the constant second difference of the (2) sequence. 2.1.2 Determine the nth term (T, ) of the pattern. (4) 2.1.3 Which term of the pattern will be equal to -25 939? (3) 2.2 The first three terms of an arithmetic sequence are: 2k - 2; k + 13 ; and 2k + 4 2.2.1 Calculate the 16th term of the sequence. (5) 2.2.2 Calculate the sum of the first 35 odd terms of the (4) sequence. [18] QUESTION 3 3.1 Evaluate: (4) S 3k-3 K= 1 3.2 (x - 2)2 + (x - 2)3 + (x - 2)5 + ... form converging (3) geometric series. Determine the value(s) of x. [7]

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