First term: 2 3/4 sixth term: 3 7/12 what is the rule

we conclude that the rule will be:

Step-by-step explanation:

Given

We know the arithmetic sequence with the common difference is defined as

where a₁ is the first term and d is a common difference.

so

a₆ = a₁ + (6-1) d

substituting a₆ = 43/12 and a₁ = 11/4 to determine d

switch sides

subtract 11/4 from both sides

Divide both sides by 5

as

a₁ = 11/4

Therefore, the nth term of the Arithmetic sequence will be:

substituting d = 1/6 and a₁ = 11/4

Therefore, we conclude that the rule will be: