The arithmetic sequence formula is:
[tex]a_n=a_1+(n-1)d[/tex]where an is the nth term, a1 is the first term, and d is the common difference.
In the sequence,
2, 11, 20, 29,
a1 = 2, and the common difference is:
d = 11 - 2 = 20 - 11 = 29 - 20 = 9
Then,
[tex]\begin{gathered} a_{79}=2+(79-1)9 \\ a_{79}=2+(78)9 \\ a_{79}=2+702 \\ a_{79}=704 \end{gathered}[/tex]the 79th term is 704
