The common difference of the arithmetic sequence

We conclude that the common difference of the Arithmetic sequence is: 1/3  

Step-by-step explanation:

Given the Arithmetic sequence

1/2, 5/6, 7/6, 3/2, 11/6

We know that an Arithmetic sequence has a constant common difference.

Let us compute the common difference 'd' of all the adjacent terms

The difference between all the adjacent terms is the same and equal

Therefore,

Hence, we conclude that the common difference of the Arithmetic sequence is: 1/3  

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5