A 1= 1 and {A n}=root[1 + {A n-1}]
B 1= 2 and {B n}=root[2*{B n-1}]
help me
Since I am studying math recently I need person`s help
2026-04-02 14:59:26.1775141966
help me finding the limit of sequence question
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So you have $a_1=1$ and $a_n=\sqrt{1+a_{n-1}}$. First, technically, we should prove that the sequence converges. Suppose it does, then $a_n\to A$ for some $A$. If we substitute this into the relation, $A=\sqrt{1+A}$, or $A^2=1+A$. Can you solve the quadratic relation for $A$?