Question

Given a1=2 and a2 = -1 and an 2 = an 1/an find the next five terms of the sequence

Answer 1

-1/2, 1/2, -1, -2, 2

Explanation:

a_1 = 2

a_2 = -1

a_n+2 = a_n+1/a_n

a_3 = a_2/a_1 = -1/2

a_4 = a_3/a_2 = -1/2 / (-1) = 1/2

a_5 = a_4/a_3 = 1/2 / (-1/2) = -1

a_6 = a_5/a_4 = -1 / (1/2) = -2

a_7 = a_6/a_5 = -2 / (-1) = 2

a_8 = a_7/a_6 = 2/(-2) = -1

a_9 = a_8/a_7 = -1/2

etc.