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inn [45]
3 years ago
7

write the first five terms of the sequence defined by the recursive formula an = 2 (an-1)^2, with a1 = 1.

Mathematics
1 answer:
vredina [299]3 years ago
3 0

Answer:

  • 1, 2, 8, 128, 32768

Step-by-step explanation:

<u>Given </u>

  • The recursive formula aₙ = 2*(aₙ₋₁)², with a₁ = 1

<u>The first 5 terms are:</u>

  • a₁ = 1
  • a₂ = 2*1² = 2
  • a₃ = 2*2² = 8
  • a₄= 2*8² = 128
  • a₅ = 2*128² = 32768
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Answer: 1 hour


Step-by-step explanation:

Let the distance they walked be d_1 in time t_1 and the distance they walked be d_2 in time t_2 ,then

Walking speed=\frac{d_1}{t_1}=4

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Riding speed=\frac{d_2}{t_2}=12

\\\Rightarrow\ d_2=12t_1

Also the total time taken=3 hours

∴t_1+t_2=3\\\Rightarrow\ t_2=3-t_1...(1)

Since the total distance= 20 km

∴d_1+d_2=20\\\Rightarrow4t_1+12t_2=20\\\Rightarrow4t_1+12(3-t_1)=20..............[\text{from (1)}]\\\Rightarrow4t_1+36-12t_1=20\\\Rightarrow-8t_1=-8\\\Rightarrow\ t_1=1

Thus, the they spent 1 hour time in walking.

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3 years ago
How do you do 137 ÷ 7 in a area model
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Hey,

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A and B are independent events. P(A) = 0.50 P(B) = 0.30 What is P(A/B)? a. not enough information. b. 0.30 c. 0.50 d. 0.15
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Answer:

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Step-by-step explanation:

P(A|B)=P(A and B)/P(B) is the formula to find a conditional probability when A and B are not independent.

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Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl
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We only need to find the heights of the 2 points on the flagpole and then subtract them. We have that AC and DC are related by the following trigonometric number: tan60=AC/DC. This is because ADC is a right triangle and AC is the opposite leg of the angle we know, while DC is the adjacent leg.
tan60= \sqrt{3} =AC/5 \sqrt{3} \\ AC=5  \sqrt{3} * \sqrt{3} =5*3=15.

Thus, we have calculated AC. The same remarks apply to the triangle BCD; However, now we get that tan30=BC/DC.
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Hence, the height of point B is 5 feet, while the height of point A is 15 feet. Their distance is 10 feet.


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