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3 years ago

Dustin is riding his bike from Logan, Utah to Jackson Hole, Wyoming in a bike race. He must ride at least 200

Mathematics

2 answers:

garik1379 [7]3 years ago

8 0

Answer:

Sorry, it was cut off a bit and my handwriting a bit sloppy.

It would equal 7.69 hours as a decimal and rounded to 8 hours as a whole number.

Simora [160]3 years ago

4 0

Answer:

Step-by-step explanation:

If he has already biked 5634 miles, he’s past 200 miles.

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PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

$\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0$

Therefore, by the series divergence test, the series $\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}$ diverges.

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