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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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BigorU [14]

Answer:

  25,133 m^2

Step-by-step explanation:

The lateral area of a cone is found using the slant height (s) and the radius (r) in the formula ...

  A = πrs

So, we need to know the radius and the slant height.

The radius is half the diameter, so is (160 m)/2 = 80 m.

The slant height can be found using the Pythagorean theorem:

  s^2 = r^2 + (60 m)^2 = (80 m)^2 +(60 m)^2 = (6400 +3600) m^2

  s = √(10,000 m^2) = 100 m

Now, we can put these values into the formula to find the lateral area:

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3 years ago
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Sonja [21]
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Pls help me
PilotLPTM [1.2K]

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Step-by-step explanation:

Unit Conversion:

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Using the formulas

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The area of the base of a cylinder is 48 square inches and its height is 14 inches. A cone has the same area for its base and th
alex41 [277]

Answer:

224 in^3

Step-by-step explanation:

The foruma appropriate to the calculation of the cone's volume is ...

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For your numbers, this is ...

V = (1/3)·(48 in^2)(14 in) = (16 in^2)(14 in) = 224 in^3

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