Answer:
[tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex]
Step-by-step explanation:
The sequence has a common ratio r between consecutive terms, that is
r = 10 ÷ 2 = 50 ÷ 10 = 250 ÷ 50 = 5
Thus the sequence is geometric with recursive formula
[tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex]
