Consider the sequence .

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Consider the sequence 8,4,2,1,12,…8,4,2,1,\frac12,\ldots. (1) Show that the sequence is geometric. (2) Find the general term unu_n. (3) Hence find the 12th term as a fraction.

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