Question

Find the limit lim (n>infinite) an where a1=4 and a(n+1)=5 - 1/an. i got L=(5+rt21)/2 or (5-rt21)/2 so which is the actual one??

Answer 1

\[a_{n+1} =5-1/a_{n}\]

Answer 2

a2=4.75 a3>a2 and a4>a3
so
L>4
then
L=(5+rt21)/2 is the correct answer

Answer 3

aha, that's right!!1 i didnt recognize that ~~~ thx