1. The problem statement, all variables and given/known data
how do we get the n th term of a sequence if it is given in form of
##x_{ n+1 }=f({ x }_{ n })##
and the p th term is given
2. Relevant equations
I figured we may get it if we get it in the form of
##x_{ n+1 }-{ x }_{ n }## but how?can we even get it?if yes,under what conditions?
3. The attempt at a solution
example: n th term of sequence where
##x_{ n+1 }=\frac { { x }_{ n }+\frac { 2 }{ { x }_{ n } } }{ 2 } ##
where ##{ x }_{ 0 }=1##
how do we get the n th term of a sequence if it is given in form of
##x_{ n+1 }=f({ x }_{ n })##
and the p th term is given
2. Relevant equations
I figured we may get it if we get it in the form of
##x_{ n+1 }-{ x }_{ n }## but how?can we even get it?if yes,under what conditions?
3. The attempt at a solution
example: n th term of sequence where
##x_{ n+1 }=\frac { { x }_{ n }+\frac { 2 }{ { x }_{ n } } }{ 2 } ##
where ##{ x }_{ 0 }=1##
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