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Hello, I need help finding the value of the 35th term

Hello, I need help finding the value of the 35th term-example-1
User Bibscy
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1 Answer

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7 votes

Solution:


\begin{gathered} a_1=21 \\ a_(83)=513 \end{gathered}

The nth term of an arithmetic seuence is


\begin{gathered} a_n=a+(n-1)d \\ a_(83)=21+(83-1)d \\ 513=21+82d \\ 513-21=82d \\ 82d=492 \\ (82d)/(82)=(492)/(82) \\ d=6 \end{gathered}

To figure out the 35th term, we will use the formula below


\begin{gathered} a_(35)=a_1+(n-1)d \\ a_(35)=21+(35-1)6 \\ a_(35)=21+204 \\ a_(35)=225 \end{gathered}

Hence,

The final answer is


a_(35)\Rightarrow225

User Soham
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