Answered

Enter a recursive rule for the geometric sequence.

5, −10, 20, −40, ...

a1= an=

Answer :

Matheng

Answer:

[tex]x_{n} = 5 \ * \ (-2)^{n-1}[/tex]

Step-by-step explanation:

Given the geometric sequence:

5, −10, 20, −40, ...

The first term is a = 5  

And the common ratio = r = -10/5 = -2

The general rule of geometric sequence is

[tex]x_{n} = a \ * \ r^{n-1}[/tex]

So, the rule for the given geometric sequence is:

[tex]x_{n} = 5 \ * \ (-2)^{n-1}[/tex]

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