Consider the geometric sequence (a) Write down the first term u, and the common ratio r....

 

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Consider the geometric sequence (a) Write down the first term u, and the common ratio r. 10, 5, 2.5, 1.25,... (b) Find the 10th term of the sequence. (c) Find the sum of the first 10 terms. (d) Express the general term u,, in terms of ". EE [1] [2] [2] [1] (e) Hence find the value of given that u = 0.3125 [2] (f) Explain why the sum of the infinite series exists (i.e. the series converges) and find its value. [3] Consider the geometric sequence (a) Write down the first term u, and the common ratio r. 10, 5, 2.5, 1.25,... (b) Find the 10th term of the sequence. (c) Find the sum of the first 10 terms. (d) Express the general term u,, in terms of ". EE [1] [2] [2] [1] (e) Hence find the value of given that u = 0.3125 [2] (f) Explain why the sum of the infinite series exists (i.e. the series converges) and find its value. [3]