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3 years ago

The first three terms of an arithmetic sequence are 3k-1, 4k+1, 6k-2. What is the value of k?

Mathematics

1 answer:

yawa3891 [41]3 years ago

4 0

Answer:

k = 5

Step-by-step explanation:

First three terms of an AP are 3k-1, 4k+1, 6k-2.

First term is 3k-1

For an AP,

a₂-a₁=a₃-a₂

4k+1-(3k-1)=6k-2-(4k+1)

4k+1-3k+1=6k-2-4k-1

k+2=2k-3

Separating like terms,

k-2k=-3-2

-k=-5

k = 5

So, the value of k is 5.

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3 years ago

The gas co2 is diffusin at steady state through a tube 20 cm long having a diameter of 1 cm and containing n2 at 350 k . the tot

Marrrta [24]

The value is J = 1.71*10^-6 kmol/m^2.s

According to the given conditions we get,

The length the tube l= 0.20m

The diameter of the tube d= 0.01m

The total pressure inside the tube P= 101.32kPa

The partial pressure of CO2 at the first end is

P1= 456mm Hg = 60794.832 Pa

The partial pressure of CO2 at the other end is

P2= 76mm Hg = 10132.472 Pa

The temperature is T = 298 K

The diffusion coefficient D= 1.67* 10^-5 m^2/s

Generally the molar flux of CO2 is mathematically represented as

J= D{p1-p2} / R.T

Here R is the gas constant with value R= 8.314 j/kmol

So we get J= 1.71 * 10^-3 mol/m^2.sec

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4 0

2 years ago

I need the assistance of smarter beings than I..... I'm so lost.....

alukav5142 [94]

Answer:

$\sf \bold{ 1 * (-3)^{n-1}}$

Explanation:

first term, a₁ = 1

difference between the terms: -3

used geometric formula : $\bold{\sf a_1 * (r)^{n-1}}$

<u>where "a₁ is first term" and "r refers to common difference"</u>

formula for this nth term: $\sf \bold{ 1 * (-3)^{n-1}}$

4 0

2 years ago

How do I do this problem?

LUCKY_DIMON [66]

Multiply -3 with -3 you will get positive 6

5 0

3 years ago

Solve t+m=r for r <br> pls help.

AlexFokin [52]

Hi!

<h3>So, we need to figure out what r equals. </h3>

r doesn't have to be a number. r has to equal a value. A value can be variables, or numbers, it doesn't matter.

<h3>The equation says r = t + m. Read the equation out loud. </h3>

<u>r equals t plus m. </u>

<h3>There's the value of r! </h3><h2>The answer is the problem: r = t + m</h2>

Hope this helps! :)

-Peredhel

4 0

3 years ago

The first three terms of an arithmetic sequence are 3k-1, 4k+1, 6k-2. What is the value of k?​

The first three terms of an arithmetic sequence are 3k-1, 4k+1, 6k-2. What is the value of k?