Question 3

Given the linear pattern: 2𝑥 + 2 ; 3𝑥 + 4 ; 5𝑥 + 6 ; …

3.1 If 𝑥 = 0, calculate the numerical value of the fourth term.

Hence determine the nth term of the sequence. (4)

3.2 Calculate the value of the 18th term. (2)

3.3 Which term in the sequence will be equal to 108? (2)

3.4 Determine the largest value of 𝑛 for which 𝑇𝑛 < 166. (3)

3.5 The following values are the multiples of five from the number pattern: 5; 10; 15; 20; …

Determine the 16th even number of this pattern. (3)

[14]

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