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.

the value of the 89th term is 36

Step-by-step explanation:

Given :

To Find : 89th term

Solution :

The general  explicit rule for an arithmetic sequence  is

 is the first term of sequence .

D is the common difference

so, in given sequence :

n = 89

so, to find 89th term

using given explicit formula :

put n = 89

⇒

⇒

⇒

⇒

⇒

Thus, the value of the 89th term is 36

538,757

Step-by-step explanation:

Population=(current population)*(1+rate)^(year)

Population=(300000)*(1+5/100)^12=538,756.899 or 538,757. Love from Gauthmath