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4,9, 14, 19.... 38th Term?

User Moshtaf
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1 Answer

17 votes
17 votes

189

1) Let's find the pattern behind this Sequence

So we can state that this is an Arithmetic Sequence, whose common difference is 5, the first term is 4

2) Let's plug those pieces of information into the Explicit Formula for Arithmetic Sequences:


\begin{gathered} a_n=a_1+(n-1)d \\ a_(38)=4+(38-1)5 \\ a_(38)=4+185 \\ a_(38)=189 \end{gathered}

3) Therefore the 38th term is 189

4,9, 14, 19.... 38th Term?-example-1
User Tsunamis
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