Answer:
[tex]a_n=\frac{4}{5}+\frac{1}{6}(n-1)[/tex]
Step-by-step explanation:
The explicit formula is given by:
[tex]a_n=a+(n-1)d[/tex]
Where a is the first term (4/5) and d is the common difference (the difference is any 2 terms). So to find d:
29/30 - 4/5
29/30 - 24/30
5/30
1/6
d = 1/6
Now putting them into the formula:
[tex]a_n=a+(n-1)d\\a_n=\frac{4}{5}+(n-1)*\frac{1}{6}[/tex]
The last answer choice is right.
