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VashaNatasha [74]
3 years ago
14

Write the first 5 terms of the recursive sequence defined below. a1=0 an=2(an-1)²-1, for n>1​

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
7 0

Answer:

  • 0, -1, 1, 1, 1

Step-by-step explanation:

<u>Given recursive formula</u>

  • a₁ = 0
  • aₙ = 2(aₙ₋₁)² - 1, for n>1​

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

  • a₁ = 0
  • a₂ = 2(0)² - 1 = 0 - 1 = -1
  • a₃ = 2(-1)² - 1 = 2 - 1 = 1
  • a₄ = 2(1)² - 1 = 2 - 1 = 1
  • a₅ = 2(1)² - 1 = 2 - 1 = 1
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Homework help? really struggling on the whole concept
nikitadnepr [17]
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75, 75, 84, 87, 96

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Number 1 asks for the median, and in this case, it has to be 85% or higher for you to answer "yes".
The median from this data set is the number "84".
Therefore, your answer will be "No."

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Now, in the start of this system or equation, you don't divide all of the numbers by 6. You add the numbers together (the numerator) and that should leave you with:
417+x     = 85
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With this, you still won't divide in the fraction by 6. You'll multiply the denominator by 6 to cancel the denominator to make the equation easier to solve. 
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Then, multiply the 85 by 6, since you did it to the denominator. That will give you 510. 

Your equation should now be 417+x=510.
To solve, simply subtract 510-417, and you should get 93. 
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If you need to, then round to the nearest tenth.

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8 0
3 years ago
Find the vol of this prism
polet [3.4K]

Answer:

V = 396 cm³

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = Ah ( A is the area of the triangular face and h the height of prism )

A = \frac{1}{2} bh ( b is base and h perpendicular height )

here b = 9, h = 8 , then

A = \frac{1}{2} × 9 × 8 = 4.5 × 8 = 36 cm² , so

V = 36 × 11 = 396 cm³

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