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What is the answer to this? i’m not sure how to complete the problem.

What is the answer to this? i’m not sure how to complete the problem.-example-1
User Ariel Magbanua
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1 Answer

12 votes
12 votes

a_(n)=a_(n-1)+(n-1)*4

1) To get to know the answer to this problem, we need to consider the first term 15 the common difference obtained by the difference between the terms:


\begin{gathered} 19-15=4 \\ 23-19=4 \\ 27-23=4 \end{gathered}

2) Therefore, we can write the recursive formula resorting to the previous term, i.e. our recursive formula is valid for the second term and so forth and so on.


\begin{gathered} a_n=a_(n-1)+(n-1)d \\ \\ a_n=15+(2-1)4 \\ \\ a_2=15+4\Rightarrow a_2=19 \end{gathered}

3) Thus, the answer is:


a_n=a_(n-1)+(n-1)\cdot4

User Factory Girl
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