We are told that the first term is 2. The next term is 7(2) = 14; the third term is 7(14) = 98. And so on. So, the first term and the common ratio (7) are known.
The nth term of this geometric series is a_n = 2(7)^(n-1).
Check: What is the first term? We expect it is 2. 2(7)^(1-1) = 2(1) = 2. Correct.
What is the third term? We expect it is 98. 2(7)^(3-1) = 2(7)^2 = 98. Right.<span />
Answer:
it's not English, sorry I can't help.
Answer: y=-1/3x+1
Step-by-step explanation:
To find an equation that contains the given point and has the same slope, we can plug it into slope-intercept form to find the y-intercept.
3=-1/3(-6)+b [multiply]
3=2+b [subtract both sides by 2]
b=1
Now that we know the y-intercept, we know that the equation is y=-1/3x+1.
<em>I</em><em> </em><em>have</em><em> </em><em>attached</em><em> </em><em>the</em><em> </em><em>graph</em><em>!</em><em> </em>

Here are some details about the equation and the graph!
Details of equation ⤵️
- <u>The</u><u> </u><u>equation</u><u> </u><u>is</u><u> </u><u>written</u><u> </u><u>in</u><u> </u><u>slope-intercept</u><u> </u><u>form</u><u>.</u>
- <u>The</u><u> </u><u>slope</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>line</u><u> </u><u>is</u><u> </u><u>0</u><u>.</u><u>5</u><u>.</u>
- <u>The</u><u> </u><u>y-intercept</u><u> </u><u>is</u><u> </u><u>1</u><u>.</u>
Details of graph ⤵️
- <u>Root</u><u> </u><u>=</u><u> </u><u>(</u><u>2</u><u>,</u><u>0</u><u>)</u>
- <u>Domain</u><u> </u><u>=</u><u> </u><u>x</u><u>∈</u><u>R</u>
- <u>Range</u><u> </u><u>=</u><u> </u><u>y</u><u>∈</u><u>R</u>
- <u>Vertical</u><u> </u><u>intercept</u><u> </u><u>=</u><u> </u><u>(</u><u>0</u><u>,</u><u>1</u><u>)</u>