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1. The first and thirteenth terms of an arithmetic sequence are \(\frac{7}{9}\) and \(\frac{4}{5}\), respectively. What is the seventh term?

 

2. If the point (3,6) is on the graph of \(y=g(x)\), and \(h(x)=(g(x))^2\) for all x, then there is one point that must be on the graph of \(y=h(x)\) .What is the sum of the coordinates of that point?

 Aug 28, 2018
 #1
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1. The first and thirteenth terms of an arithmetic sequence are  7/9  and 4/5 , respectively. What is the seventh term?

 

We have that

 

4/5  =  7/9 + d (12)

4/5 - 7/9 =  d (12)

1/45  = d(12)

1 (45 *12)  = d

1/540  = d

 

So...the seventh term is....    7/9  + (1/540)(6)    = 71 / 90

 

 

cool cool cool

 Aug 28, 2018

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