Question

Find the a2, a3, and a4 terms of the sequence defined as:

Answer 1

Answer:

$a_2 =\frac{1}{2}\\\\a_3 =2\\\\a_2 =\frac{1}{2}$

Step-by-step explanation:

$a_1 = 2......(given)\\\\a_n =\frac{1}{a_{n-1}}\\\\Plug\: n = 2\\a_2 =\frac{1}{a_{2-1}}=\frac{1}{a_1}=\frac{1}{2}\\\\Plug\: n = 3\\a_3 =\frac{1}{a_{3-1}}=\frac{1}{a_2}=\frac{1}{\frac{1}{2}}=2\\\\Plug\: n = 4\\a_4 =\frac{1}{a_{4-1}}=\frac{1}{a_3}=\frac{1}{2}$