Answer:
- 473
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 2 - 7 = - 3 - 2 = - 8 - (- 3) = - 13 - (- 8) = - 18 - (- 13) = - 5
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = - 5, thus
[tex]a_{97}[/tex] = 7 + (96 × - 5) = 7 - 480 = - 473
