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Andrei [34K]
4 years ago
9

A geometric sequence is defined recursively by an=12an-1. The first term of the sequence is 0.001. Which of the following is the

explicit formula for the nth term of the sequence?
Mathematics
1 answer:
Amanda [17]4 years ago
7 0
\left\{\begin{array}{ccc}a_1=0.001\\a_n=12a_{n-1}\end{array}\right\\\\\boxed{a_n=0.001\cdot12^{n-1}}
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What are the surface area and volume ratios of a cylinder change if the radius and height are multiplied by 5/4 ?
victus00 [196]

Answer:

The ratio of the surface areas and volume is 8((5y+5x) /25xy)

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes.

Let us assume that the radius =x

Radius r=5x/4

And the height =y

Height h= 5y/4

We know that the total surface area of a cylinder is

A total = 2πrh+2πr²

We can factor out 2πr

A total = 2πr(h+r)

The volume of a cylinder is given as

v= πr²h

The surface area and volume ratios

Can be expressed as

2πr(h+r)/πr²h= 2(h+r)/rh

= (2h+2r)/rh= 2h/rh + 2r/rh

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= 2(1/r + 1/h)

Substituting our value of x and y

For radius and height we have

= 2(1/5x/4 + 1/5y/4)

=2(4/5x + 4/5y)

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3 years ago
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Mila [183]
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Yuliya22 [10]
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Step-by-step explanation:

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Switch y and x.

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tresset_1 [31]

Answer:

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Step-by-step explanation:

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