Question

If the pattern below is continued, find the 8th fraction in this sequence:

1/2 , 2/3, 3/5 , 5/8;

a. 21/34

b. 12/36

c. 34/55

d. 13/21

Answer 1

$a_n = a_{n-1}+a_{n-2} \\ b_n = b_{n-1}+b_{n-2}$

a/b

1/2, 2/3, 3/5, 5/8, 8/13, 13/21, 21/34, 34/55

Answer: 34/55