The explicit rule for an arithmetic sequence is An=20/3 / 1/3 (n-1)

What is the value of the 89th term?

We are to solve for the 89 term of the Arithmetic equation given below:

An = 20/3 + 1/3 (n-1)

Replacing n with 89, we have:

An = 20/3 + 1/3 (89-1)

An = 20/3 + 1/3 (88)

An = 20/3 + 88/3

An = 108/3

An = 36

The 89th term is 36.