Question: 8. [Maximum mark: 14] Consider the arithmetic sequence u, 2, 3, The sum of the first n terms of this sequence is given by

8. [Maximum mark: 14] Consider the arithmetic sequence u, 2, 3, The sum of the first n terms of this sequence is given by S = n + 4n. (a) (i) Find the sum of the first five terms. [4] (ii) Given that S = 60, find u. [2] (b) Find 2. (c) Hence or otherwise, write an expression for u,, in terms of n. [3] Consider a geometric sequence, v where v = u and v = 6. (d) Find the possible values of the common ratio, r. (e) Given that v,,

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