Answer:
D
Step-by-step explanation:
Given the formula of the arithmetic sequence, to find the first 5 terms, you just have to substitute n=1, n=2, n=2, n=4, and n=5.
Then, for the 1st term:
[tex]\begin{gathered} a_n=\frac{1}{8}+\frac{2}{3}n \\ a_1=\frac{1}{8}+\frac{2}{3}(1) \\ a_1=\frac{19}{24} \end{gathered}[/tex]
2nd term:
[tex]\begin{gathered} a_2=\frac{1}{8}+\frac{2}{3}(2) \\ a_2=\frac{35}{24} \end{gathered}[/tex]
There is no need to find the other 3 because there is no other sequence that has the first two terms as D.
