Solve for a_n
a_{n}=7n-3
Solve for n
n=\frac{a_{n}+3}{7}
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a_{n}=4+7n-7
Use the distributive property to multiply 7 by n-1.
a_{n}=-3+7n
Subtract 7 from 4 to get -3.
a_{n}=4+7n-7
Use the distributive property to multiply 7 by n-1.
a_{n}=-3+7n
Subtract 7 from 4 to get -3.
-3+7n=a_{n}
Swap sides so that all variable terms are on the left hand side.
7n=a_{n}+3
Add 3 to both sides.
\frac{7n}{7}=\frac{a_{n}+3}{7}
Divide both sides by 7.
n=\frac{a_{n}+3}{7}
Dividing by 7 undoes the multiplication by 7.
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