# #X_(n+1)-aX_n+2=0# Which are the set values of "a" for the string "Xn" is descending?

##
#X_(n+1)-aX_n+2=0#

See below.

It's solution can be composed of a solution for the homogeneous

For the homogeneous solution the proposal is

Now for the particular we propose

so

and then

or

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The set of values for ( a ) such that the sequence ( X_n ) is descending depends on the initial conditions and the specific characteristics of the sequence. Without further information about the initial values of the sequence ( X_n ), it is not possible to determine a specific set of values for ( a ) that guarantees a descending sequence.

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