Solve for a_n
a_{n}=3n+1
Solve for n
n=\frac{a_{n}-1}{3}
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a_{n}=3n-12+13
Use the distributive property to multiply 3 by n-4.
a_{n}=3n+1
Add -12 and 13 to get 1.
a_{n}=3n-12+13
Use the distributive property to multiply 3 by n-4.
a_{n}=3n+1
Add -12 and 13 to get 1.
3n+1=a_{n}
Swap sides so that all variable terms are on the left hand side.
3n=a_{n}-1
Subtract 1 from both sides.
\frac{3n}{3}=\frac{a_{n}-1}{3}
Divide both sides by 3.
n=\frac{a_{n}-1}{3}
Dividing by 3 undoes the multiplication by 3.
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