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

What are the first five terms of the arithmetic sequence defined explicitly by the-example-1

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Answer:

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.

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