Solve the problem. The recursively defined sequence can be used to compute k for any positive number

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Solve the problem.

The recursively defined sequenceaj = k -Н k if n>1 ая ад-1 + ад-1


can be used to compute √k for any positive number k. This sequence was known to Sumerian mathematicians 4000 years ago, and it is still used today. Use this sequence to approximate the given square root by finding a6. Compare the result with the actual value.

(a) √2 

(b) √11

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College Algebra

ISBN: 978-0134697024

12th edition

Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

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