Question

What are the first five terms of the arithmetic sequence defined explicitly by the formula an=14 - 3n

Answer 1

Answer:

11, 8, 5, 2, -1

Option D is correct

Step-by-step explanation:

The given arithmetic sequence is:

`a_n=14-3n`

For the first term, substitute n = 1 into the arithmetic sequence

`\begin{gathered} a_1=14-3(1) \\ a_1=14-3 \\ a_1=11 \end{gathered}`

For the second term, substitute n = 2 into the arithmetic sequence

`\begin{gathered} a_2=14-3(2) \\ a_2=14-6 \\ a_2=8 \end{gathered}`

For the third term, substitute n = 3 into the arithmetic sequence

`\begin{gathered} a_3=14-3(3) \\ a_3=14-9 \\ a_3=5 \end{gathered}`

For the fourth term, substitute n = 4 into the arithmetic sequence

`\begin{gathered} a_4=14-3(4) \\ a_4=14-12 \\ a_4=2 \end{gathered}`

For the fifth term, substitute n = 5 into the arithmetic sequence

`\begin{gathered} a_5=14-3(5) \\ a_5=14-15 \\ a_5=-1 \end{gathered}`

Therefore, the first five terms are:

11, 8, 5, 2, -1