Answer:
The 100th term is 793.
Step-by-step explanation:
Notice that this arithmetic sequence has first term [tex]a_1=1[/tex]
and common difference [tex]d=8[/tex] (since each consecutive term is built by adding "8" to the previous one)
Recall the general formula for the nth term of a sequence:
[tex]a_n=a_1\,+(n-1)\,d[/tex]
therefore, for our articular case, the term 100th can be obtained with:
[tex]a_n=a_1\,+(n-1)\,d\\a_{100}=1\,+(100-1)\,8\\a_{100}=1\,+(99)\,8\\a_{100}=1\,+792\\a_{100}=793[/tex]
