Answer :

The general formula for an arithmetic sequence is given by

[tex]a_n=a_1+d(n-1)[/tex]

where

a_1=4

d=3

substitute

[tex]\begin{gathered} a_n=4+3(n-1) \\ a_n=4+3n-3 \\ a_n=3n+1 \end{gathered}[/tex]

so

For n=20

substitute

[tex]\begin{gathered} a_{20}=3(20)+1 \\ a_{20}=61 \end{gathered}[/tex]

The answer is 61

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