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Savatey [412]
2 years ago
8

Which geometric series diverges?

Mathematics
2 answers:
alina1380 [7]2 years ago
6 0

Answer:

If |r| >= 1 then the above geometric series diverges. If the above series converges, then the remainder RN = S - SN (where S is the exact sum of the infinite series and SN is the sum of the first N terms of the series) is bounded by 0< = RN <= (N.. ) f(x) dx.

Step-by-step explanation:

kupik [55]2 years ago
5 0

Answer:

is divergent if and only if | r | ≥ 1. Methods for summation of divergent series are sometimes useful, and usually evaluate divergent geometric series to a sum that agrees with the formula for the convergent case

Step-by-step explanation:

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3 years ago
if a motercycle is moving at a constant speed down the highway of 40 km/hr, how long would it the motorcycle to travel 10 km
ahrayia [7]

Answer:

15 minutes

Step-by-step explanation:

First, the motorcycle goes at a speed of 40 km/hr.

The question asks for how long it would take to travel 10 km.

Well, there are 60 minutes in an hour, since we will be translating into minutes.

Also, 10 km is 1/4 of 40 km, so it would make sense that the time length would be 1/4 of an hour as well.

1/4 of 60 minutes is 15 minutes.  So it takes 15 minutes for the motorcycle to travel 10 km.

Now, if all this wordy stuff is too much to comprehend, you can also solve using proportional relationships.

\frac{40km}{60min}=\frac{10km}{xmin}

Now cross multiply:

40km*xmin=10km*60min\\40x=600

Divide both sides by 40:

\frac{40x}{40}=\frac{600}{40}\\x=15

Again, this shows that it wouls take 15 minutes for the motorcycle to travel 10 km.

6 0
3 years ago
A flagpole is 12 feet tall. Its shadow is 14 ft long. How far is it from the top of the
Kisachek [45]

Answer:

Step-by-step explanation:

AC = length of flagpole = 12 ft

AB = length of shadow = 14 ft

BC = length from the top of the flagpole to the end of the shadow = x ft

Use Pythagorean theorem to find the length of x,

x² = AC² + BC²

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2 years ago
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baherus [9]
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3 years ago
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