Answer:
B: [tex]a_n= 0.2(-0.3)^{n-1}[/tex]
Step-by-step explanation:
Geometric sequence
0.2, -0.06, 0.018,-0.0054,0.00162....
General explicit formula is [tex]a_n= a_1(r)^{n-1}[/tex]
Where r is the common ratio and a1 is the first term
a1 is 0.2 (first term)
we need to find out common ratio 'r'
To find 'r' divide second term by first term
[tex]\frac{-0.06}{0.2} =-0.3[/tex]
Plug in the values in the general formula
[tex]a_n= a_1(r)^{n-1}[/tex]
[tex]a_n= 0.2(-0.3)^{n-1}[/tex]
