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# arithmetic sequence/ functions

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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?

mathtoo  Aug 28, 2018
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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

CPhill  Aug 28, 2018