Geometric Sequences & Recursive Formula

SELECT 3:

How can you find the common ratio in a geometric sequence?

Find the common ratio for the geometric sequence below.

1, 6, 36, 216,...

(a)  

Find the common ratio for the geometric sequence below.

128, 64, 32, 16,...

(a)  

Is the sequence a geometric sequence?

3, 25, 50, 75, 100...

Is the sequence a geometric sequence?

$$3,-3,\ 3,-3,...$$

Is this the recursive definition for the geometric sequence below?

4, 12, 36, 108,...

$$a_1=4\ ;\ \ \ \ \ \ \ \ a_n=a_{\left(n-1\right)}\left(3\right)$$

Is this the recursive definition for the geometric sequence below?

0.1, 0.5, 2.5, 12.5,...

$$a_1=5\ ;\ \ \ \ \ \ \ \ a_n=a_{\left(n-1\right)}\left(0.1\right)$$

In the Recursive formula, who represents the 1st Term?

$$a_n=-4\cdot a_{\left(n-1\right)\ \ \ \ \ \ }$$ where $$a_1=5$$ find $$a_6=_{ }$$

In the Recursive formula below, who represents the 6th Term?

$$a_n=-4\cdot a_{\left(n-1\right)\ \ \ \ \ \ }$$ where $$a_1=5$$ find $$a_6=_{ }$$ _____

In the Recursive formula below, find the 6th Term?

$$a_n=-4\cdot a_{\left(n-1\right)\ \ \ \ \ \ }$$ where $$a_1=5$$ find $$a_6=_{ }$$ (a)