Question

What are the first five terms of the arithmetic sequence defined explicitly by the formula an=1/8+2/3n

Answer 1

D

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:

`\begin{gathered} a_n=(1)/(8)+(2)/(3)n \\ a_1=(1)/(8)+(2)/(3)(1) \\ a_1=(19)/(24) \end{gathered}`

2nd term:

`\begin{gathered} a_2=(1)/(8)+(2)/(3)(2) \\ a_2=(35)/(24) \end{gathered}`

There is no need to find the other 3 because there is no other sequence that has the first two terms as D.