ANSWER
[tex]592[/tex]EXPLANATION
The given sequence is an arithmetic sequence since each successive term differs by a common difference of 8:
[tex]\begin{gathered} d=24-16=8 \\ d=32-24=8 \end{gathered}[/tex]To find the 73rd term of the sequence, we apply the formula for the nth term of an arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]where a1 = first term = 16
d = common difference = 8
Therefore, the 73rd term of the sequence is:
[tex]\begin{gathered} a_{73}=16+(73-1)8 \\ a_{73}=16+(72\cdot8)=16+576 \\ a_{73}=592 \end{gathered}[/tex]That is the answer.
