Answer:
see explanation
Step-by-step explanation:
Consider the values of y
[tex]\frac{2}{5}[/tex], 2, 10, 50
Consider the ratio between consecutive terms
2 ÷ [tex]\frac{2}{5}[/tex] = 5
10 ÷ 2 = 5
50 ÷ 10 = 5
Since the ratio is common then the terms form a geometric sequence
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]
where a is the first term and r is the common ratio, hence
[tex]a_{n}[/tex] = [tex]\frac{2}{5}[/tex][tex](5)^{n-1}[/tex] ← explicit formula
