Answer: The common ratio is -1/3
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Work Shown:
Pick any term to divide it by the previous term. I'm going to pick the second term and divide it by the first term.
r = common ratio
r = (term 2) divided by (term 1)
r = (4/9) divided by (-4/3)
r = (4/9) * (-3/4)
r = (4*(-3))/(9*4)
r = -12/36
r = -1/3
The common ratio is -1/3
This means you multiply each term by -1/3 to get the next term
For instance
term 2 = r*(term 1)
term 2 = (-1/3)*(-4/3)
term 2 = ((-1)*(-4))/(3*3)
term 2 = 4/9
Answer:

Step-by-step explanation:
It's an arithmetic sequence.

The difference is constant.
The explicit formula of an arithmetic sequence:

Substitute:

<em>use distributive property</em>

Answer:
Proportional: Non-Proportional: How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.
Step-by-step explanation:
<h3>hope it helps</h3>
Answer: y=2x-5. so it's 2
remember the following equation: y=mx+b.
the slope is always m, the y intercept is b.
2.5(t - 2) - 6 = 9
2.5(t - 2) = 9 + 6 = 15
t - 2 = 15/2.5 = 150/25 = 6
t = 6 + 2 = 8
Answer: 8
Check: 2.5(8 - 2) - 6 = 2.5(6) - 6 = 1.5(6) = 9 good