Solve for n
n=-\frac{1}{u_{n}-2}
u_{n}\neq 2
Solve for u_n
u_{n}=2-\frac{1}{n}
n\neq 0
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u_{n}n=2n-1
Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by n.
u_{n}n-2n=-1
Subtract 2n from both sides.
\left(u_{n}-2\right)n=-1
Combine all terms containing n.
\frac{\left(u_{n}-2\right)n}{u_{n}-2}=-\frac{1}{u_{n}-2}
Divide both sides by u_{n}-2.
n=-\frac{1}{u_{n}-2}
Dividing by u_{n}-2 undoes the multiplication by u_{n}-2.
n=-\frac{1}{u_{n}-2}\text{, }n\neq 0
Variable n cannot be equal to 0.
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