Find the sum of the first 20 terms of the sequence {4,10,16,22,...} step by step

Find The Sum Of The First 20 Terms Of The Sequence {4,10,16,22,...} Step By Step

Answers

Answer 1

Answer:

All terms separated by 6 so #20 = 4 + 6 * 19 = 118

(if the first term were 6 instead of 4 the 20th would be 120)

Also, #10 = 58 and #11 = 64   (you can use the same reasoning)

The 1st and 20th term add to 4 + 118 = 122

The 2nd and 19th add to 10 + 112 = 122

Likewise 10th and 11th add to 58 + 64 = 122

So 10 * 122 = 1220


Related Questions

3 2/6+8 2/9-1 1/2 ?????????

Answers

Answer:

10 1/18

Step-by-step explanation:

3 2/6 + 8 2/9 - 1 1/2 = ?

First, we need to find the common denominator, which I will choose to be 18, which means I will need to convert all the fractions.

3 6/18 + 8 4/18 - 1 9/18 = ?

Now, we solve.

3 6/18 + 8 4/18 - 1 9/18 = 10 1/18

Sophie invested $93,000 in an account paying an interest rate of 5.6% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $170,500?

Answers

Answer:

11

Step-by-step explanation:

What is the value of
5
5 units, as a fraction greater than
1
1?

Answers

The value of 5 units as a fraction greater than 1 is 5x>1x>.2.2=2/10 Answer is 2/10 you welcome!

An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the mean daily revenue was $675 with a population standard deviation of $75. A sample of 30 days reveals a daily mean revenue of $625. If you were to test the null hypothesis that the daily mean revenue was $675, which test would you use

Answers

Answer:

One sample t test

Step-by-step explanation:

A one proportion sample t test is employed when we intend to test the sample mean of a certain sample against a particular or specified population property . In the scenario above, we could use the information given to obtain the one sample proportion test statistic by using the formular :

Test statistic = (xbar - μ) ÷ (σ/sqrt(n))

Where, xbar = sample mean ;

μ = population mean

σ = population standard deviation

n = sample size

Using the test statistic, we can then obtain the Pvalue and compare to the specified α - level

Solve the simultaneous equations
2x - 5y = 9
3x + 4y = 2

Answers

Answer:

(2, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 5y = 9 → (1)

3x + 4y = 2 → (2)

Multiplying (1) by 4 and (2) by 5 and adding the result will eliminate the y- term

8x - 20y = 36 → (3)

15x + 20y = 10 → (4)

Add (3) and (4) term by term to eliminate y

23x + 0 = 46

23x = 46 ( divide both sides by 23 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (2)

3(2) + 4y = 2

6 + 4y = 2 ( subtract 6 from both sides )

4y = - 4 ( divide both sides by 4 )

y = - 1

solution is (2, - 1 )

A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral?

Answers

9514 1404 393

Answer:

  the cut plane is between non-intersecting edges

Step-by-step explanation:

The cross section will be a quadrilateral when the cut plane intersects four of the six edges of the pyramid. This will be the case when the plane lies between two edges that do not intersect.


If baseball were played on Mars, the balls would fly much farther than they
do on Earth. One could then speculate that the number of home runs hit
would be much greater on Mars. Mike expects that he would hit 50% more
home runs if he were playing baseball on Mars. If he hit 76 home runs on
Earth, how many home runs does he expect he would hit on Mars?

Answers

Answer: 114 homeruns on mars

Step-by-step explanation: 76 homeruns x 0.5 = 38

76+38 = 114

If ∠R and ∠S are supplementary angles and m∠R = 39°, find m∠S.

Answers

Answer: m∠S=141°

Step-by-step explanation:

Here, we need to know the definition of supplementary angles. Supplementary angles are two angles that add up to 180°. If you need a more detailed graphical explanation, please refer to the attachment below.

---------------------------------------------------------------------------------------------

Given

m∠R=39°

Solve

Given

m∠R + m∠S=180

Substitute value

39 + m∠S=180

Subtract 39 on both sides

39 + m∠S - 39=180 - 39

m∠S=141

Hope this helps!! :)

Please let me know if you have any questions.

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1500 bacteria selected
from this population reached the size of 1805 bacteria in four hours. Find the hourly growth rate parameter.
Note: This is a continuous exponential growth model.
Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
00
E

Answers

Answer:

The hourly growth rate parameter is of 4.74%

Step-by-step explanation:

Continuous growth model:

The continuous growth model for a population after t hours is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial population and r is the hourly growth rate parameter, as a decimal.

A sample of 1500 bacteria selected from this population reached the size of 1805 bacteria in four hours.

This means that [tex]P(0) = 1500, P(t) = 1805, t = 4[/tex]

Find the hourly growth rate parameter.

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]1805 = 1500(1+r)^4[/tex]

[tex](1+r)^4 = \frac{1805}{1500}[/tex]

[tex]\sqrt[4]{(1+r)^4} = \sqrt[4]{\frac{1805}{1500}}[/tex]

[tex]1 + r = (\frac{1805}{1500})^{\frac{1}{4}}[/tex]

[tex]1 + r = 1.0474[/tex]

[tex]r = 0.0474[/tex]

0.0474*100% = 4.74%

The hourly growth rate parameter is of 4.74%

Jericho takes 3 test in one month the number of correct answers and the total number of questions on each test are shown in the table list the test in order from the least percent of questions correct to the greatest percent of question


Test Correct answers Total questions

Science 36 40

History 23 25

Math 44 50

Answers

Math , science, history.

1. If the 3rd term of a geometric sequence is 1,000 and the 2nd term is 100, what is
the 1st term?

Answers

Answer: 10

Step-by-step explanation: If you do the 3rd term divided by the 2nd term, that gives you 10. So, if the 1st term is 10, you do 10 times 10 which is 100 (2nd term) and 100 times 10 which is 1,000 (3rd term).

What is value of the expression 9x+4y when x= and y=8

Answers

Answer: sorry about that Evaluate for y=8

9x+(4)(8)

9x+(4)(8)

=9x+32

Hope this help :D

Answer:

It doesn't say what x is so once you have x all you have to do is insert the numbers in their place, so you will get 9(x) + 4(8). Now multiply 9 by x, then multiply 4 and 8, which is 32. Now add 32 and whatever 9 times x is. Hope this helps!

If A = (0,0) and B = (8, 2), what is the length of AB?
A. 8.25 units
B. 9.41 units
C. 3.16 units
D. 7.75 units

Answers

Answer:

8.25

= root under (8-0)^2+(2-0)^2

= root under (8)^2+(2)^2

=root under 64+4

= root under 68

8.25 units

I hope this will help you and plz mark me as brainest answer

Helppppp I have until 11:30 and it’s 10:36

Answers

Answer:

911

Step-by-step explanation:

Now you can get help

How many people have larger than a size 10 shoe?

Answers

Answer:

no not me I have a size 7 .how about you

Not me im 8-9 in shoes

pls help me on this !!!

Answers

Abcdefghijklmnopqrstuvwxyz

Answer:

50

Step-by-step explanation:

22 + 18 = 40

90 - 40 = 50

no way you can round it

Does this line represent a positive or negative slope?
How do you know?
only answer if you really know the answer !

Answers

Answer:

positive it is moving to the positive side of the graph

A stainless steel patio heater is a square pyramid. The length of one side of the base is 24.8 in. The slant height of the pyramid is 89.3 in. What is the height of the pyramid?

Answers

Answer:

The height is  88.434in

Step-by-step explanation:

help please thank you

Answers

Answer:

i think its 8r^4

hope this helps

Step-by-step explanation:

Tyrell bought 4 liters of fruit punch for a party

Answers

Uhh, you didn't provide the actual question. All you said was "Tyrell bought 4 liters of fruit punch for a party".

In ΔNOP, p = 240 cm, n = 270 cm and ∠O=22°. Find the area of ΔNOP, to the nearest square centimeter.

Answers

Answer:

Area≈12137.254≈12137

Step-by-step explanation:

Delta math

A company has recently been hiring new employees. Today the company has 33% more employees than it did a year ago. If there are currently 39,900employees, how many employees did the company have a year ago?

Answers

Answer:

33% of 39900=13,167

39900-13167=26733

PLEASE HELP!!! Needed ASAP!

Answers

B sorry if I’m wrong btw

Simplify fully
4x2 + 4x
2x² – 2

Answers

Answer:

4 × 2 = 8 + 4 = 12 × 2 = 24 - 2 = 22

22 is the FINAL answer

#carryonlearning

Help please will mark brainless 25 points due today

Answers

4. 37 5. 11 6. 15 hope this helps

Lincoln has a coin collection. He keeps 3 of the coins in his box, which is 5% of the collection. How many total coins are in his collection?

Answers

Answer:

3 times 20 equals 60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

is/of = %/100

'x' = # coins

3/x = 5/100

cross-multiply

5x = 300

x = 60

If x3=125 and y3=8, what is the value of y−x

Answers

Answer:

X= 5

Y= 2

Y-X= 2-5= -3

The radius of a circle is 10 m. Find the circumference to the nearest tenth.

Answers

the answer is: C≈62.83m

Answer:

[tex] \bf \large 60 \: m[/tex]

Step-by-step explanation:

Given that :

The radius of a circle is 10 m.

to find :

Find the circumference to the nearest tenth.

formulas used :

circumference = 2 × π × r

where,

π = 22/7

r = 10 m

explanation :

⟼ c = 2πr

⟼ c = 2 × 22/7 × 10 m

⟼ c = 2 × 3•14 × 10m

⟼ c = 6•28 × 10 m

⟼ c = 62•8 m

Round to the nearest tenth :

⟼ c = 62•8 m

⟼ c = 60 m

∴ circle circumference is 60 m.

If 5% of 100 is 5 and 10% of 100 is 10, what is 35% of 100? Explain your reasoning.

Answers

Answer:

35% of 100 is 35

Step-by-step explanation:

the first person who answered this did a good job at explaining it

Answer:

35% of 100 is 35

Step-by-step explanation:

so trying to get this right hope it helps :D

A culture of 3,000 bacteria quadruples in number every 10 hours. Plt) represents the
population of the bacteria after thours. Which equation best models the growth of
the bacteria?

Answers

Answer:

P(t) = 3000 * 4^(t/10)

Step-by-step explanation:

There is more than one way to get an exponential function out of the information given.  The way the question is worded, however, seems to suggest the following type of answer:

One general form of the exponential function is y = a·bx, where a is the initial value, and b is the growth or decay factor.  So right away we can say that a = 2300.

Now for the growth factor.  When something is increasing or decreasing by a certain percentage, we are adding or subtracting that percentage to the 100% (which is equal to 1) that exists currently.  So here we're increasing by 11%, or 0.11.  Then the growth factor b is (1 + 0.11), or 1.11.

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