Answer:
The 100th term is [tex]a_{100}=197+106.3^{27}[/tex]
The nth term is [tex]a_n=197+(n+6).3^{27}[/tex]
Step-by-step explanation:
Forming the sequence we see that
[tex]a_1=197+7.3^{27}=197+(1+6).3^{27}[/tex]
[tex]a_2=197+8.3^{27}=197+(2+6).3^{27}[/tex]
[tex]a_3=197+9.3^{27}=197+(3+6).3^{27}[/tex]
Evidently,
[tex]a_n=197+(n+6).3^{27}[/tex]
So,
[tex]a_{100}=197+106.3^{27}[/tex]
