Question

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

Answer 1

`a_2 =(1)/(2)\\\\</p><p>a_3 =2\\\\</p><p>a_2 =(1)/(2)`

Explanation:

`a_1 = 2......(given)\\\\</p><p>a_n =(1)/(a_(n-1))\\\\</p><p>Plug\: n = 2\\</p><p>a_2 =(1)/(a_(2-1))=(1)/(a_1)=(1)/(2)\\\\</p><p></p><p>Plug\: n = 3\\</p><p>a_3 =(1)/(a_(3-1))=(1)/(a_2)=(1)/((1)/(2))=2\\\\</p><p></p><p>Plug\: n = 4\\</p><p>a_4 =(1)/(a_(4-1))=(1)/(a_3)=(1)/(2)\\\\`