Answer:
881
Step-by-step explanation:
Arithmetic sequences can be written as:
[tex]a_n = a_1 + (n-1)d\\a_1 \: is \: 17\\a_n = 17 + (n-1)d\\[/tex]
The second term is 26,
[tex]26 = 17 + (2-1)d\\9 = 1d\\d = 9\\a_n = 17 + (n-1)*9\\a_n = 17 + 9n - 9\\a_n = 8 + 9n[/tex]
So, the [tex]97^t^h[/tex] term is
[tex]a_9_7 = 8 + 9(97)\\a_9_7 = 8 + 873\\a_9_7 = 881[/tex]
