Question

CC.3 Evaluate explicit formulas for sequencesNV5Find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.

Answer 1

`9,\text{ }27,\text{ }81,\text{ }243,\text{ }729`

Step-by-step explanation

To find the first five terms of the sequence, we have to solve for a when n = 1, 2, 3, 4, 5.

Therefore, the first five terms of the sequence are:

`\begin{gathered} a_1=3(3)^1 \\ \\ a_1=9 \end{gathered}`
`\begin{gathered} a_2=3(3)^2 \\ \\ a_2=27 \end{gathered}`
`\begin{gathered} a_3=3(3)^3 \\ \\ a_3=81 \end{gathered}`
`\begin{gathered} a_4=3(3)^4 \\ \\ a_4=243 \end{gathered}`
`\begin{gathered} a_5=3(3)^5 \\ \\ a_5=729 \end{gathered}`

Hence, the first five terms of the sequence are:

`9,\text{ }27,\text{ }81,\text{ }243,\text{ }729`