Question

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

Answer 1

`\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`