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3 years ago

Find the 7th term of the geometric sequence1/8, 1/2, 2, ...

Physics

1 answer:

schepotkina [342]3 years ago

5 0

Answer:

512

Explanation:

Given sequence:

1/8, 1/2, 2, ...

Unknown:

The 7th term of the geometric sequence = ?

Solution:

To solve this problem, we apply the formula below;

Sₙ = arⁿ⁻¹

a is the first term

r is the common ratio

n is the nth term

r = $\frac{\frac{1}{2} }{\frac{1}{8} }$ = $\frac{1}{2} x 8$ = 4

Input the parameters and solve;

Sₙ = $\frac{1}{8}$ x 4⁷⁻¹

Sₙ = $\frac{1}{8}$ x 4⁶ = 512

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3 years ago

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Katarina [22]

Answer:

Explanation:

(a)

Since the earth is assumed to be a sphere.

Volume of atmosphere = volume of (earth +atm osphere) — volume of earth

$= \frac{4}{3}\pi(6400+ 50)^3 - \frac{4}{3}\pi (6400)
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(b)

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$PV = nRT\\\\n\frac{0.20atm\times 2.6\times10^{19} m^3}{0.08206L\, atm/mok\, K \times (15+273+15)K}\times \frac{1L}{10^{-3}m^3}\\\\= 2.20\times 10^{20} moles$

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Hence the required molecules is $13.3\times10^{43} molecules
$

(c)

Write the ideal gas equation as follows:

$PV =nRT
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}{0.08206 L\, atm/mol\,K \times (37 +273.1 5)K} = 0.0196 moles$

$no.\, of\, molecules = 0.0196 moles \times\frac{6.022\times10^{23} molecules}
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Hence the required molecules in Caesar breath is $1.2\times 10^{23} molecules$

(d)

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(e)

Since the volume capacity of the human body is 500 mL.

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3 years ago

Find the 7th term of the geometric sequence1/8, 1/2, 2, ...​

Find the 7th term of the geometric sequence1/8, 1/2, 2, ...