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natka813 [3]
3 years ago
6

Which choice is the explicit formula for the following geometric sequence

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
7 0
Hello,

2/10,-6/100,18/1000,-54/10000,162/100000;...


a(n+1)/a(n)=-3/10
a(0)=2/10*1

a(n)=2/10* (-3/10)^(n-1)

Answer B
AURORKA [14]3 years ago
3 0

Answer:

B: a_n= 0.2(-0.3)^{n-1}

Step-by-step explanation:

Geometric sequence

0.2, -0.06, 0.018,-0.0054,0.00162....

General explicit formula  is a_n= a_1(r)^{n-1}

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

\frac{-0.06}{0.2} =-0.3

Plug in the values in the general formula

a_n= a_1(r)^{n-1}

a_n= 0.2(-0.3)^{n-1}

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