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4 years ago

5

What is the 6th term of the geometric sequence when the first term is 6 and the common ratio is 7? 5,489,031,744 130,691,232 326

,592 100,842

1 answer:

UNO [17]4 years ago

6 0

Answer:I think its

5,489,031,744

Step-by-step explanation:

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3 years ago

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2 years ago

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3 years ago

The rational function has a y-intercept of 7. What is the equation for this function?

Schach [20]

Answer:

$\large\boxed{f(x)=\dfrac{4}{x+2}+5}$

Step-by-step explanation:

$f(x)=\dfrac{a}{x-b}+c\\\\\text{We have}\\\text{(1) the vertical asymptote}\ x=-2.\ \text{Therefore}\ b=-2.\\\text{(2) the horizontal asymptote}\ y=5.\ \text{Therefore}\ c=5.\\\text{(3) the point (0, 7). Put the coordinates of the point to the equation}\\\text{of the function}\\y=\dfrac{a}{x-(-2)}+5\\\\7=\dfrac{a}{0+2}+5\qquad\text{subtract 5 from both sides}\\\\2=\dfrac{a}{2}\qquad\text{multiply both sides by 2}\\\\4=a\to a=4\\\\\text{Finally:}\\\\f(x)=\dfrac{4}{x+2}+5$

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3 years ago