Solve for T
T=\frac{i\left(2-X_{n}\right)}{3^{n}}
Solve for X_n
X_{n}=iT\times 3^{n}+2
Share
Copied to clipboard
2+3^{n}Ti=X_{n}
Swap sides so that all variable terms are on the left hand side.
3^{n}Ti=X_{n}-2
Subtract 2 from both sides.
i\times 3^{n}T=X_{n}-2
The equation is in standard form.
\frac{i\times 3^{n}T}{i\times 3^{n}}=\frac{X_{n}-2}{i\times 3^{n}}
Divide both sides by i\times 3^{n}.
T=\frac{X_{n}-2}{i\times 3^{n}}
Dividing by i\times 3^{n} undoes the multiplication by i\times 3^{n}.
T=-\frac{i\left(X_{n}-2\right)}{3^{n}}
Divide X_{n}-2 by i\times 3^{n}.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}