Predict the general term or nth term an for the sequence 16

Predict the general term, or nth term, a_n, for the sequence. 1/6, 2/7, 3/8, 4/9, 5/10, .. a_n = __

Solution

1/6,2/7,3/8/4/9,5/10,.......

numerator=1,2,3,4,5

a_n teterm is n

denominator

6,7,8,9,10

a_n term is 6+(n-1)1=5+n

Required a_n term is n/5+n