Solve for n
n=\frac{S_{n}+2}{4}
Solve for S_n
S_{n}=4n-2
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4n-2=S_{n}
Swap sides so that all variable terms are on the left hand side.
4n=S_{n}+2
Add 2 to both sides.
\frac{4n}{4}=\frac{S_{n}+2}{4}
Divide both sides by 4.
n=\frac{S_{n}+2}{4}
Dividing by 4 undoes the multiplication by 4.
n=\frac{S_{n}}{4}+\frac{1}{2}
Divide S_{n}+2 by 4.
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