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3 years ago

Provide the first six terms of the following sequence: t1=81 tn=1/3tn-1

Mathematics

2 answers:

Andrews [41]3 years ago

8 0

We get tne n-th term with: tn=1/3tn-1

We know that the first term is t1=81, so 81=1/3t*1-1

81=1/3t-1

82=1/3t

82*3t=1

3t=1/82

t=1/82*3=1/246

The second term is: 1/

2*(1/246)*2)-1

We get the third term by replacing n with 3 and so on...

Mandarinka [93]3 years ago

7 0

Answer:

Through the window and under the door, It covers the walls and coats the floor.

Step-by-step explanation:

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A company sells tents in two styles, shown below. The sides and floor of each tent are made of nylon. Which tent requires less n

BartSMP [9]

Answer: Tunnel tent.

Step-by-step explanation:

The tent which has the minimum area requires less nylon to manufacture,

Since, the area of Pup tent = Area of 3 square each having side 8 ft + Area of 2 equilateral triangle having side 8 ft

= $3 \times ( 8^2 ) + 2\times \frac{64\sqrt{ 3} }{4}$

= $192+ 2\times \frac{64\sqrt{ 3} }{4}$

= $192+ 32\sqrt{ 3}$

= $247.425625842\approx 247.43\text { square ft}$

Now, the area of tunnel tent = Area of square having side 8 ft + total Area of half cylinder having radius 4 ft and height 8 ft

= $8^2 + \frac{1}{2} [ 2\pi\times 4(4+8)]$

= $64 + \pi\times 48$

= $64 + 3.14\times 48$

= $214.72\text { square ft}$

Since, 214.72 < 247.43

Thus, Tunnel tent requires less nylon to manufacture.

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3 years ago

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7nadin3 [17]

Answer:

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Step-by-step explanation:

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AlekseyPX

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Answer:

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Step-by-step explanation:

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Svetlanka [38]

Answer:

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Step-by-step explanation:

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