Final answer:
The nth term of the sequence is (n+2)/(4n+2)
Step-by-step explanation:
The given sequence is:
3/6, 4/10, 5/14, 6/18, 7/22, ...
In this sequence, the numerator is increasing by 1 and the denominator is increasing by 4 for each term. So, the nth term of the sequence can be written as:
sn = (n+2)/(4n+2)
For example, to find the 5th term, substitute n = 5:
s5 = (5+2)/(4*5+2) = 7/22