Solve for k_n
k_{n}=\frac{15}{26}\approx 0.576923077
Assign k_n
k_{n}≔\frac{15}{26}
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k_{n}=\frac{1}{2}+\frac{1}{13}
Reduce the fraction \frac{4}{52} to lowest terms by extracting and canceling out 4.
k_{n}=\frac{13}{26}+\frac{2}{26}
Least common multiple of 2 and 13 is 26. Convert \frac{1}{2} and \frac{1}{13} to fractions with denominator 26.
k_{n}=\frac{13+2}{26}
Since \frac{13}{26} and \frac{2}{26} have the same denominator, add them by adding their numerators.
k_{n}=\frac{15}{26}
Add 13 and 2 to get 15.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}