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Find the first four terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = –3n − 3

Find the first four terms of the sequence defined below, where n represents the position-example-1
User Pbies
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Solution:

Given:

To find the first four terms of the sequence which is defined as


a_n=-3n-3

First term: n=1

Thus,


\begin{gathered} a_1=-3(1)-3 \\ \Rightarrow a_1=-6 \end{gathered}

second term: n=2


\begin{gathered} a_2=-3(2)-3 \\ \Rightarrow a_2=-9 \end{gathered}

third term: n=3


\begin{gathered} a_3=-3(3)-3 \\ \Rightarrow a_3=-12 \end{gathered}

fourth term: n = 4


\begin{gathered} a_4=-3(4)-3 \\ \Rightarrow a_4=-15 \end{gathered}

Hence, the first four terms of the sequence are


-6,\text{ -9, -12, -15}

Find the first four terms of the sequence defined below, where n represents the position-example-1
User HVenom
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