15/100,3/10,45/100,6/10,75/100 find the next pattern

From the given series:

15/100,3/10,45/100,6/10,75/100

The common difference=3/10-15/100=3/20

Th e first term 15/100

thus the series is an arithmetic series which follows a general explicit formula of:

an=a + (n-1) d

thus plugging in our values, we obtain explicit formula for the series as:

an=15/100 + (n-1) 3/20

an=3/20n

Thus the answer is: 3/20n