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# ​ help!

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122
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Let $$a_1, a_2, a_3, \dots$$be  sequence of real numbers satisfying $$a_n = a_{n - 1} a_{n + 1}$$for all n>=2. If$$​​​​ a_1 = 1 + \sqrt{7}$$, and $$a_{1776} = 13 + \sqrt{7},$$ then determine$$a_{2009}.$$

Feb 11, 2020

#1
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a_{2009} is equal to 3 - 2*sqrt(7).

Feb 11, 2020
#2
+30288
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I get the following:

Edit:  Item number 3 in the list above should be a2/a1 not a2/a3 !

Feb 11, 2020
edited by Alan  Feb 11, 2020