Question

What is the next term in the sequence below?
1/2, 2/6, 3/18, 4/54 ...

A. 5/162
B. 5/57
C. 5/60
D. 5/108
(I really need help, and could you please explain how you got the answer)

Answer 1

A.

Answer 2

the numerators : just add 1 each time
the denominators : multiply it by 3 each time.

1/2 -- add 1 to the numerator, and multiply the denominator by 3 and you get
2/6.

2/6 -- add 1 to the numerator, and multiply the denominator by 3 and you get
3/18

you see the pattern....now take the last term
4/54 -- add 1 to the numerator, and multiply the denominator by 3 and you get 5/162

understand ?