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agasfer [191]
3 years ago
6

Indicate a general rule for the nth term of the sequence a1 = 2 and r = √3.

Mathematics
1 answer:
pantera1 [17]3 years ago
3 0

It is given in the question that,

a_{1} = 2, r = \sqrt 3

Since we have the value of r given, so we have to use the formula to find the nth term of the geometric progression, which is

a_{n} = a(r)^{n-1}

Substituting the values of a and r, we will get

a_{n} = 2( \sqrt 3)^{n-1}

So the correct option is the third option .

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Step-by-step explanation:

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3 years ago
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chubhunter [2.5K]
The formula of the area of the equilateral triangle:
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T.A.=2A_\Delta+3A\\\\T.A.=2\cdot\dfrac{9\sqrt3}{4}+3\cdot18=\dfrac{9\sqrt3}{2}+54=(54+4.5\sqrt3)\ in^2
The formula of the volume of the triangular prism:
V=A_\Delta\cdot l\\\\V=\dfrac{9\sqrt3}{4}\cdot6=\dfrac{9\sqrt3}{2}\cdot3=\dfrac{27\sqrt3}{2}=13.5\sqrt3\ in^3





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Answer:

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Step-by-step explanation:

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