Respuesta :

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

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