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Misha Larkins [42]
3 years ago
9

Given the following recurrence relation: An=(−2)An−1, with A0=(−1)

Mathematics
1 answer:
kirill [66]3 years ago
4 0
Technically you could answer this one by one, by substituting n with 1, 2, 3, 4, then 5. Like here:
A1=(-2)A1-1
=(-2)A0, then substituting A0 with -1...
=(-2)(-1)
Which would mean A1=2. Then..
A2=(-2)A2-1
A2=(-2)A1
A2=(-2)(2)
Which would mean A2=-4.
By repeating this process you'd eventually get A4..
A5=(-2)A4
if you did the steps right you'd get that A4 is -16..
A5=(-2)(-16).
Then simplify to get your answer.
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Tomtit [17]

Answer:

0

Step-by-step explanation:

8z +12 = 12

8z = 0

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4 0
1 year ago
David &amp; Brad are competing in a 20-mile bicycle race. David rides 6.2 miles in 1/4 hour. Brad rides 11.9 miles in 1/2 hour.
Elodia [21]
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3 years ago
Earth has been charted with vertical and horizontal lines so that points can be named with coordinates. The horizontal lines are
inna [77]
<span>a. The radius of earth is about 6400 kilometers. Find the circumference of a great circle.

Circumference = 2π(radius) = 2π(6400 km) = 40.212,39 km

b. Write an equation for the circumference of any latitude circle with angle theta

As stated, </span><span><span>the length of any parallel of latitude (this is the circumference of corresponding circle) is equal to the circumference of a great circle of Earth times the cosine of the latitude angle</span>:

=> Circumference = 2π*radius* cos(Θ) = 2 π*6400km*cos(Θ) = 40,212.39 cos(Θ)

Answer: circumference = 40,212.39 cos(Θ) km

c. Which latitude circle has a circumference of about 3593 kilometers?

Make </span><span><span>40,212.39 cos(Θ)</span> km = 3593 km

=> cos(Θ) = 3593 / 40,212.39 = 0.08935 => Θ = arccos(0.08935) = 84.5° = 1.48 rad

Answer: 1.48

d. What is the circumference of the Equator? </span>

For the Equator Θ = 0°

=> circumference = 40,213.49cos(0°) km = 40,212.49 km

Answer: 40,212.49 km

7 0
3 years ago
Find the measure of the side of the right triangle whose length is designated by a lowercase letter. (see attachment)
PilotLPTM [1.2K]

Answer:

a≈18 cm

Step-by-step explanation:

     we have given:

an angle,

the adjacent side and

     we need to find:

the opposite side

     

we know that the definition of

tan of an angle = opp. side/ adj. side

              tan 61° = a/ 10

multiply both sides by 10

        10 * tan61° = a

   18.04047755 = a

                      18 ≈ a

8 0
3 years ago
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ololo11 [35]
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5 0
2 years ago
Read 2 more answers
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