SOLUTION: A sequence defined by
an={1 n=1
an={cos(1/24pi-1/4(an-1)) n>1
what is a102?
an=nth term in the sequence
Algebra ->
Sequences-and-series
-> SOLUTION: A sequence defined by
an={1 n=1
an={cos(1/24pi-1/4(an-1)) n>1
what is a102?
an=nth term in the sequence
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This doesn't appear to have an algebraic solution; are you sure you have shown the problem correctly? It is a very strange recursive definition.
A graphing calculator and an excel spread sheet both show the sequence converging to 0.9931188712 (to 10 decimal places) by the 10th term; so that will be the value of a102.