Answer:
n = 200
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 6 and d = 9, thus
[tex]a_{n}[/tex] = 6 + 9(n - 1) = 6 + 9n - 9 = 9n - 3
Now [tex]a_{n}[/tex] = 1797, so
9n - 3 = 1797 ( add 3 to both sides )
9n = 1800 ( divide both sides by 9 )
n = 200
