Answer
Convergent to 0.5
Work Step by Step
We are given the sequence:
$a_{n+1}=2a_n(1-a_n)$
$a_0=0.3$
Using a calculator, we get the values for $a_n$ when n=0,1,2,...,14.
We notice that the sequence is convergent and its limit is 0.5.
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 8 - Sequences and Infinite Series - 8.2 Sequences - 8.2 Exercises - Page 617: 87
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