The nth term of an arithmetic sequence is given by the formula,
[tex]a_n=a+(n-1)d[/tex]
Here, 'a' denotes the first term, and 'd' denotes the common difference of the arithmetic sequence.
According to the given information,
[tex]\begin{gathered} a_1=a=5 \\ d=3 \\ n=22 \end{gathered}[/tex]
Substitute the values in the formula to obtain the 22nd term,
[tex]\begin{gathered} a_{22}=5+(22-1)\cdot3 \\ a_{22}=5+(21)\cdot3 \\ a_{22}=5+63 \\ a_{22}=68 \end{gathered}[/tex]
Thus, the 22nd term of the arithmetic sequ
