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3 years ago

Which of the following represents the general term for the sequence 2, 4, 6, 8, 10, . . .?

Mathematics

2 answers:

vredina [299]3 years ago

7 0

A(n)=a(1)+(n-1)d=
a(n)=2+(n-1)2=2+2n-2=2n

icang [17]3 years ago

5 0

Answer:

Option (b) is correct.

The general term of the sequence is 2n

Step-by-step explanation:

Given : The sequence 2, 4, 6, 8, 10, . . .

We have to find the representation of the general term of the given sequence 2, 4, 6, 8, 10, . . .

Consider the given sequence 2, 4, 6, .....

The general term of an arithmetic sequence is given by $a_n=a+(n-1)d$

where, a = first term

d is common difference

For the given sequence a = 2

and d = 2

Then $a_n=2+(n-1)2=2+2n-2=2n$

Thus, The general term of the sequence is 2n

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Can someone help?????

dexar [7]

Answer:

JL = 56

NK = 28

Step-by-step explanation:

Since JL = MK

5x + 1 = 8x - 32

8x - 5x = 32 + 1

3x = 33

x = 11

JL = 5x + 1 = 5(11) + 1 = 55 + 1 = 56

NK = 1/2MK = 1/2JL = 56/2 = 28

6 0

2 years ago

Use the linear combination method to solve this system of equations. What is the value of x? -2.4 x - 3.6 y = 1.2. 2.4 x + 1.2 y

Gennadij [26K]

Answer:

this is the graph and answer :D

Step-by-step explanation:

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3 years ago

A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short c

prisoha [69]

Answer:

A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions. a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor? b. For 95% confidence, determine the margin of error (+ lbf) c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators? d. lbf) if 50 insulators were tested.

Step-by-step explanation:

6 0

2 years ago

Find an approximate equation y=ab^x with the coordinates (0, 4) (3, 95)

bogdanovich [222]

We have $y=ab^{x}$

Plug in $(0, 4)$ :
$4=ab^{0}$ ⇒ $4=a$
So we now have $a$

Plug in $(3, 95)$ :
$95=4b^{3}$
⇒ $b^{3}=\frac{95}{4}$
⇒ $b=\sqrt[3]{\frac{95}{4}}$
which is approximately 2.874

So we get
$y=4(\sqrt[3]{\frac{95}{4}})^{x}$
or, in decimal form,
$y=4*2.874^{x}$

7 0

3 years ago

HELP<br>8 Prove that 8^6+4^11 is divisible by 17. Answer __*17

Marina CMI [18]

Answer:

<u>262,144</u> goes in the blank

Step-by-step explanation:

8^6 = 262,144

4^11 = 4,194,304

4,194,304 + 262,144 = 4,456,448

4,456,448 ÷ 17 = 262,144

8 0

2 years ago