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3 years ago

What is the explicit formula for this geometric sequence?

Mathematics

1 answer:

Kamila [148]3 years ago

5 0

Answer:

Step-by-step explanation:

We notice that in this sequence (an) we multiply by 3 each time to get the next term

e.g : (-6)×3 = -18

then

the commonn ratio q = 3

the first term a1 = -6

the explicit formula :

an = a1×qⁿ⁻¹ = (-6)×3ⁿ⁻¹

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X/a+y/a=1 solve for y

IRISSAK [1]

X/a=0.5
y/a=0.5
X+y/a
a=2
X=1
y=1
x+y=a(1)
1+y=2(1)
y=2-1
y=1

4 0

3 years ago

Which equation represents a line that passes through (2, –left-parenthesis 2, negative StartFraction one-half EndFraction right-

kompoz [17]

Answer:

Step-by-step explanation:

correct on Edg

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2 years ago

Find the four rational numbers and irrational numbers between 2/5 and 5/6

Savatey [412]

The four?

Of course there are an infinite number of rationals between any two different real numbers, as well as an even bigger infinite number of irrationals.

The average will be between the numbers:

$\frac 1 2 (\frac 2 5 + \frac 5 6) = \dfrac{37}{60}$

That's a lot of work to get a number in between. We can just see

$\frac 1 2$
is between the two numbers.

The mediant, or freshman addition, will always be in between:

$\dfrac{2 + 5}{5 + 6} = \dfrac{7}{11}$

2/5=.4 and 5/6 is about .83, so

$.6 = \frac{6}{10}$

is in between as is .7, .41, .530940394 and as many rationals as we care to generate.

To get irrationals we could just add a teeny irrational to the ones we just generated, like $\frac{6}{10} + \frac{\pi}{100}$

We could just change that denominator a bit and get as many as we like.

But let's get some square roots. The geometric mean will be between

$\sqrt{ \dfrac 2 5 \cdot \dfrac 5 6 } = \dfrac{1}{\sqrt{3}}
$

That's the tangent from one of trig's biggest cliches, but I digress. It's in between.

While we're on trig cliches,

$\dfrac{1}{\sqrt{2}}$

is in between as well.

Keeping with the trig theme, also in between are

$\dfrac{\pi} 6$

and

$\dfrac{\pi}{4}$

the angles associated with the some of the above trig function values.

We could obviously go on as long as we cared to.

7 0

3 years ago

A cell phone company charges a monthly fee of $35 and an addition $0.20 per minute used.

kiruha [24]

Answer:

35 + .2m

Step-by-step explanation:

The monthly fee of $35 is a base pay, and you don't change anything with it.

The "m" stands for minute, and since it costs $.20 for each minute, multiply the two together to get that part of the equation.

4 0

3 years ago

Frank and Lisa are analyzing the chart, which shows the speed at which light travels through different media. A 2 column table w

Shalnov [3]

The correct answer is

c) Neither person is correct because light does not change frequency when it travels through different media

we have given that The column on the right is labeled speed of light in meters per second and are all times 10 Superscript 8 Baseline with entries 2. 25, 2. 99, 1. 97, 1. 24.

<h3>What happened when light travels through the different media?</h3>

light changes both wavelength and speed when it travels through different media, but the frequency remains the same

light changes both wavelength and speed when it travels through different media, but the frequency remains the same.

Therefore the option c is correct that

Neither person is correct because light does not change frequency when it travels through different media

To learn more about the wavelength visit:

brainly.com/question/10728818

5 0

2 years ago