Answered

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9,-81, 729,-6561...
What is the common ratio?
Help which is the correct answer?

981 7296561 What Is The Common Ratio Help Which Is The Correct Answer class=

Sagot :

MrRoyal

Answer:

[tex]r = -9[/tex]

Step-by-step explanation:

Given

[tex]Sequence: 9,-81, 729,-6561...[/tex]

Required

Determine the common ratio

The common ratio r is calculated using:

[tex]r = \frac{T_n}{T_{n-1}}[/tex]

Let [tex]n = 2[/tex]

So, we have:

[tex]r = \frac{T_2}{T_{2-1}}[/tex]

[tex]r = \frac{T_2}{T_1}[/tex]

From the sequence:

[tex]T_2 = -81[/tex]

[tex]T_1=9[/tex]

So, the equation becomes

[tex]r = \frac{-81}{9}[/tex]

[tex]r = -9[/tex]

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