All categories

2 years ago

Write the sum using summation notation assuming the suggested pattern continues 9-18+36-72

Mathematics

2 answers:

IgorC [24]2 years ago

5 0

I think it is 45 sorry if its wrong

Licemer1 [7]2 years ago

3 0

Let's first work out the pattern. Since it's an geometric progression, we can find the sum to n terms of the pattern.

$S_n = \frac{a(r^n - 1)}{r - 1}$
$S_n = \frac{9((-2)^n - 1)}{-3}$
$S_n = -3((-2)^n - 1)$

Now that we've developed our geometric progression, we can start to add sigma notation.

k
∑(-3[(-2)^n - 1])
n = 1

You might be interested in

Janice swam in the 400 ___ backstroke.

ruslelena [56]

Meter/ yard. Likely meter since that is high/college standard

7 0

2 years ago

Rewrite 1/3 Barrel 2/3 hour as a unit rate

andreyandreev [35.5K]

Answer:

c is correct answer is yes

6 0

2 years ago

Simplify square root of (1-cos)(1+cos)/cos^2

Pavel [41]

I hope this helps you

(1-cosx)(1+cosx)=1+cosx-cosx-cos²x=1-cos²x=sin²x

sin²x
____
cos²x

tg²x

3 0

2 years ago

A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and

nasty-shy [4]

Answer:

correct option is C) 2.8

Step-by-step explanation:

given data

string vibrates form = 8 loops

in water loop formed = 10 loops

solution

we consider mass of stone = m

string length = l

frequency of tuning = f

volume = v

density of stone = $\rho$

case (1)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

so here

$l = \frac{8 \lambda _1}{2}$ ..............1

$l = 4 \lambda_1\\\\\lambda_1 = \frac{l}{4}$

and we know velocity is express as

velocity = frequency × wavelength .....................2

$\sqrt{\frac{Tension}{mass\ per\ unit \length }}$ = f × $\lambda_1$

here tension = mg

$\sqrt{\frac{mg}{\mu}}$ = f × $\lambda_1$ ..........................3

and

case (2)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

$l = \frac{10 \lambda _1}{2}$ ..............4

$l = 5 \lambda_1\\\\\lambda_1 = \frac{l}{5}$

when block is immersed

equilibrium eq will be

Tenion + force of buoyancy = mg

T + v × $\rho$ × g = mg

and

T = v × $\rho$ - v × $\rho$ × g

from equation 2

f × $\lambda_2$ = f × $\frac{1}{5}$

$\sqrt{\frac{v\rho _{stone} g - v\rho _{water} g}{\mu}} = f \times \frac{1}{5}$ .......................5

now we divide eq 5 by the eq 3

$\sqrt{\frac{vg (\rho _{stone} - \rho _{water})}{\mu vg \times \rho _{stone}}} = \frac{fl}{5} \times \frac{4}{fl}$

solve irt we get

$1 - \frac{\rho _{stone}}{\rho _{water}} = \frac{16}{25}$

relative density $\frac{\rho _{stone}}{\rho _{water}} = \frac{25}{9}$

relative density = 2.78 ≈ 2.8

so correct option is C) 2.8

3 0

2 years ago

DUE IN 30 MINS!!!<br> plz help T-T

-Dominant- [34]

Answer:

1. Tectonic activity is responsible for some of Earth's most dramatic geologic events: earthquakes, volcanoes and deep ocean trenches can all be formed by tectonic activity in the lithosphere.

2.The lithosphere can affect the atmosphere when tectonic plates move and cause an eruption, where magma below spews up as lava above. This can also release copious amounts of volcanic ash or soot, which pollutes the atmosphere, blocks radiation and creates a cooling effect.

3. I don't know what's show on the text sorry that parts up to you good luck :)

Step-by-step explanation:

7 0

2 years ago