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Hello, I need help with finding the first four terms

Hello, I need help with finding the first four terms-example-1
User Flatronka
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1 Answer

4 votes

Answer:

The first four terms of the sequence are:


5,-20,80,-320

Explanation:

We're already given the first term:


a_1=5

We'll calculate the next three terms of the sequence as following:


\begin{gathered} a_2=-4a_(2-1) \\ \rightarrow a_2=-4a_1 \\ \rightarrow a_2=(-4)(5) \\ \Rightarrow a_2=-20 \\ \\ a_3=-4a_(3-1) \\ \operatorname{\rightarrow}a_3=-4a__2 \\ \operatorname{\rightarrow}a_3=(-4)(-20) \\ \Rightarrow a_3=80 \\ \\ a_4=-4a_(4-1) \\ \rightarrow a_4=-4a_3 \\ \rightarrow a_4=(-4)(80) \\ \Rightarrow a_4=-320 \end{gathered}

Therefore, we can conclude that the first four terms of the sequence are:


5,-20,80,-320

User Sousa Gaspar
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