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Pie
3 years ago
10

Find the slope of the line that passes through each of the points, (2,1), (0,0)

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0

Answer:2

Step-by-step explanation:

Slope=rise/run=(2-0)/(1-0)=2/1=2

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Answer:  ar^{n-1}=54(\dfrac{1}{3})^{n-1}

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The nth term for a geometric sequence is given by :-

a_n=ar^{n-1}    (1)

We are given that The first term in a geometric sequence is 54. i.e. a=54

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Put n=5 and a= 54 in (1), we get

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From (2) and (3), we have

\Rightarrow(54)r^{4}=\dfrac{2}{3}\\\\\Rightarrow r^4=\dfrac{2}{3}\times\dfrac{1}{54}=\dfrac{1}{3\times27}=\dfrac{1}{81}\\\\\Rightarrow\ r=(\dfrac{1}{81})^{\frac{1}{4}}=\dfrac{1}{3}

Explicit form for the geometric sequence: ar^{n-1}=54(\dfrac{1}{3})^{n-1}

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