Solve {l}{a_{n}=(-1)^n+1/n+5}{n=1}{a=2}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { a_{n} = \frac{{(-1)} ^ {n + 1}}{n + 5} }\\ { n = 1 }\\ { a = 2 }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for a_n, n, a, b

$$b=2$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$a_{n}=\frac{\left(-1\right)^{1+1}}{1+5}$$

Add 1 and 1 to get 2.

$$a_{n}=\frac{\left(-1\right)^{2}}{1+5}$$

Calculate -1 to the power of 2 and get 1.

$$a_{n}=\frac{1}{1+5}$$

Add 1 and 5 to get 6.

$$a_{n}=\frac{1}{6}$$

The system is now solved.

$$a_{n}=\frac{1}{6} n=1 a=2 b=2$$