Question

$$an==7.(1over7)n-1Geo \left[\begin{matrix} ric,sequence \end{matrix}\right]$$

Answer

a=1/n

Solution


Simplify  \(1\times over\times 7\)  to  \(7ovre\).
a*n==7.(7*o*v*r*e)*n-1*Ge*o*(\(r\imath c,sequence\))
Regroup terms.
a*n==7.(7*e*o*v*r)*n-1*Ge*o*(\(r\imath c,sequence\))
Regroup terms.
a*n==n*7.(7*e*o*v*r)-1*Ge*o*(\(r\imath c,sequence\))
Simplify  \(1\times Geo\))]  to  \(oGe\))].
a*n==n*7.(7*e*o*v*r)-o*Ge*(\(r\imath c,sequence\))
Simplify  \(oGe\))]  to  \(oGe\(r\imath c,sequence\\).
a*n==n*7.(7*e*o*v*r)-(o*Ge*\(r\imath c,sequence\))
Collect like terms.
a*n==((-o*Ge*\(r\imath c,-sequence\))+n*7.(7*e*o*v*r))
Regroup terms.
a*n==(n*7.(7*e*o*v*r)+(-o*Ge*\(r\imath c,-sequence\)))
Regroup terms.
a*n==(n*7.(7*e*o*v*r)+(-o*Ge*\(r\imath c,-sequence\)))
Divide both sides by \(n\).
\[a=\frac{1}{n}\]