A sequence is defined by the formula , , .

MATHEMATICS · Multi-part · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

A sequence is defined by the formula u1=427u_1 = \frac{4}{27} , un+1=3×unu_{n+1} = 3 \times u_n , n≥1n \ge 1 . (a) Show that the sequence is geometric and find the common ratio. (b) Find the 10th term of the sequence. (c) How many terms of the sequence are *not* integers?

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