Answer:
[tex] a_2 =\frac{1}{2}\\\\
a_3 =2\\\\
a_2 =\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]a_1 = 2......(given)\\\\
a_n =\frac{1}{a_{n-1}}\\\\
Plug\: n = 2\\
a_2 =\frac{1}{a_{2-1}}=\frac{1}{a_1}=\frac{1}{2}\\\\
Plug\: n = 3\\
a_3 =\frac{1}{a_{3-1}}=\frac{1}{a_2}=\frac{1}{\frac{1}{2}}=2\\\\
Plug\: n = 4\\
a_4 =\frac{1}{a_{4-1}}=\frac{1}{a_3}=\frac{1}{2}\\\\[/tex]
