Sequences and series

Sequences And Series

Answers

Answer 1
Answer: D) Geometric; r = 4

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Explanation:

The sequence is not arithmetic because the distance between adjacent terms keeps increasing. For instance, the gap from 0.4 to 1.6 is 1.6-0.4 = 1.2, while the gap from 1.6 to 6.4 is 6.4-1.6 = 4.8. There is no common difference, so we can rule out choices A and B.

To check if we have a geometric sequence, divide each term by its previous term

(term2)/(term1) = (1.6)/(0.4) = 4

(term3)/(term2) = (6.4)/(1.6) = 4

(term4)/(term3) = (25.6)/(6.4) = 4

Each time we get 4 as a result, so this sequence is geometric and the common ratio is r = 4.

Put another way: each new term is found by multiplying the previous term by 4.

0.4*4 = 1.6

1.6*4 = 6.4

6.4*4 = 25.6

This all leads to D being the answer.

Side note: the nth term of this geometric sequence is [tex]a_n = 0.4*(4)^{n-1}[/tex] where n is a positive integer and starts at n = 1.


Related Questions

what is 4km:370m in simplest form

Answers

Answer:

4.37 KM

Step-by-step explanation:

370 m to KM = 0.37 KM

then you sum 4 KM + 0.37 KM and you have 4.37 KM in its simplest form.

Best regards

For K12 8th grade math

Answers

Answer:

(0,3) (-1,0) im sorry if this is incorrect

Step-by-step explanation:

Answer:

yeah, im not sure

Step-by-step explanation:

Jennifer drove to her aunt's house, which is 325 miles away. If it took her 5 hours and she drove at a constant rate, what was Jennifer's speed in miles per hour?

Answers

325 ÷5=65
So the answer is 65 miles per hour
To double check you multiply 65 and 5, which equals 325, so the answer is correct.

The supplement of an angle is three times the measure of the angle.

What is the measure of the angle?

The measure of the angle is degrees.

The measure of the supplement of the angle is degrees.

Answers

Answer: The angle equals  45 ∘  and the supplement is  135 ∘

Explanation:

Since the supplement is three times the angle, we can say    s  =  3 a

Since we know the supplement is  

180 − a , we can plug that in.

180 - a = 3a

180  = 4 a  (add  a  to both sides)

45  =  a  (divide both sides by  4)

Since we know the angle now, all we have to do is multiply it times  3  to find the supplement.

45  ×  3  =  135

BRAINLIEST: Solve for x: x^3=25

Answers

Answer: decimal form is

2.92401773 or 2.92

Step-by-step explanation:

Answer:okay so it would be [tex]\sqrt{x} 25[/tex] without the little x though

Step-by-step explanation:

help for brainliest plsssssssssssssssssssssssssssssssssss

Answers

Answer:

32 canned goods per tub. There was one can left over.

Step-by-step explanation:

Answer:

32 in each tub with 1 left over I'm pretty sure

Step-by-step explanation:

think about how many times 5 can 161, then see what the number left over is. In this case, 5 can go into 161, 32 times with 1 left over

Name the property illustrated. 6 + 4 + 1 = 4 + 6 + 1

Answers

Answer:

distribuative property of addition

Step-by-step explanation:

Answer:

I'm going to say expanded form

Step-by-step explanation:

Change in y:
Change in x:
Slope:​

Answers

Answer:

a) 5, b) 6, c) 5/6

Step-by-step explanation:

Use the two points from the graph:

(0, 0) and (6, 5)

a) Change in y is:

5 - 0 = 5

b) Change in x is:

6 - 0 = 6

c) Slope is:

Change in y / change in x = 5/6

PLEASE ANSWER ASAP!!!!!!!!
Mark is in charge of the fundraiser for his church. He is selling pre-sale tickets for $10 and at-the-door tickets for $13. The venue has the capacity to hold 275 people. The graph represents the number of raffle tickets he needs to sell to offset the upfront costs and raise at least $3,100:

Graph with x axis labeled pre sale tickets and y axis labeled at the door tickets. There are two lines intersecting at one hundred fifty eight and three hundred thirty three thousandths and one hundred sixteen and six hundred sixty seven thousandths.

What is the minimum number of at-the-door tickets he needs to sell to make his goal?

159
158
117
116

Answers

Answer:

The answer to the question above is he needs a minimum of 117 tickets to reach his goal

Step-by-step explanation:

This is true because of the at-the-door tickets it shows on graph 116.667, and in order to find the minimum amount we need to round, and in this case round up, thus when we round we are left with 117, therefore providing you with your answer 117.

Since I already have completed this on FLVS I will provide the courtesy of showing the answer directly from my exam.

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What is the minimum number of at-the-door tickets he needs to sell to make his goal?

159

158

117 --> This was my answer by the way.

116

Points earned on this question: 1

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

Hope this helps and have a wonderful Evening

i need help! i lost my notes

Answers

Answer:

sin A= 3/5

sin C= 4/5

cos A= 4/5

cos C= 3/5

PLEASE HELP ME I WILL MARK U AS THE BRAINIEST ANSWER IF U HELP ME

Answers

Answer:

1st, 3rd

and 4th - "4th" from different answer :)

Step-by-step explanation:

Have a good day :)

Answer:

1,3 and 4

Step-by-step explanation:

150 is 96% of what number TWT

Answers

Answer:

156.25

Step-by-step explanation:

150 ÷ 96%

= 156.25

Answer (Three Different Forms):

Decimal:

156.25

Fraction:

[tex]\frac{625}{4}[/tex]

Mixed Number:

[tex]156\frac{1}{4}[/tex]

Step-by-step explanation:

96% is the same as 0.96, and so this problem can be written algebrically as:

0.96 ⋅ x = 150

Solve for x by dividing both sides of the equation by 0.96 to isolate the variable:

x = [tex]\frac{150}{0.96}[/tex]

Divide/simplify [tex]\frac{150}{0.96}[/tex] to get the following three options (you can choose which one to use):

Decimal:

156.25

Fraction:

[tex]\frac{625}{4}[/tex]

Mixed Number:

[tex]156\frac{1}{4}[/tex]

Hope this helps! :)

Because Kendall's business spent more money than it collected, the business's balance sheet showed a balance of -$1,280$ at the end of the month. The next day, Kendall's business spent $560 on new tools. Part A Kendall determines that the new balance is -$720 because 1,280 + 560 = -720 . Did Kendall correctly determine the new balance? Explain why or why not. If not, calculate the new balance. Respond in the space provided.

Answers

Answer: No. Kendall did not correctly determine the new balance. The new balance is -$1840.

Step-by-step explanation:

From the question, we are informed that Kendall's business spent more money than it collected, and therefore the business's balance sheet showed a balance of -$1,280 at the end of the month. We are informed that the next day, Kendall's business spent $560 on new tools.

Therefore, since Kendall made a purchase, this is an expense and we have to subtract it from the previous balance. This will be:

= -$1280 - $560

= - $1840

The new balance is -$1840

Answer:

She is not correct. The correct answer should be -$1840

Step-by-step explanation:

Explanation: Kendal is ultimately wrong, because in his step in adding the $560 spent on new tools, she had added a positive number, which meant they deposited money to go out of debt. Instead he was supposed to subtract the $560, or even add -$560 to the businesses balance. If calculated correctly, by subtracting $560 to the current balance, it would get us to -$1840.

Find the distance between (-1,4) and (5,7).

Answers

Answer:

(2, 5.5)

Step-by-step explanation:

Use the midpoint formula.

what are the 3 ways to determine if ratios are
equal to each other?

Answers

Multiply each ratio to the second number of the ratio.

Find the value of X and Y

(WILL GIVE BRAINY)

Answers

Answer:

y = 62, x = 122

Step-by-step explanation:

Every triangle's sum of interior angles = 180°.

60 + 58 + y = 180

118         + y = 180

y                  = 62

Supplementary angles are adjacent angles that make up a straight angle (180 degrees)

58 + x = 180

x          = 122

Answer:

x = 122°, y = 62°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180 to find y

y = 180° - (60 + 58)° = 180° - 118° = 62°

x and 58° are adjacent angles and are supplementary, thus

x = 180° - 58° = 122°

Which graph best represents a system of equations that has no solution?

Answers

Answer: D

Step-by-step explanation: for each answer they were at least going to interact with each other, unlike answer D

if its right i’ll give brainliest!!

Answers

Answer:

6.5

Step-by-step explanation:

Square 42

[tex]\sqrt{42}[/tex]=6.48074....

rounded to the tenth is 6.5

Hope this helps!

What number will complete the point-slope equation that models this scenario?

y−50,000=[_______](x−10)

Answers

Answer:

-3000

Step-by-step explanation:

edge2021

Answer: -3000

Step-by-step explanation: Did it on Edge and got it right!

help me plz! Find all missing angles​

Answers

Step-by-step explanation:

m<1=41

m <2=85

m<3=95

m<4=85

m<5=36

m<6=49

m <7=106

if an angle is acute then it measures 20 degrees which of the following would be a counterexample? 48 degrees, 90 degrees, 105 degrees, or 180 degrees

Answers

the counter example would be 105 degrees

The counterexample can be the angle can be 105 degrees.

What is counter example statement?

A counterexample is an example in which the hypothesis is true, but the conclusion is false. If you can find a counterexample to a conditional statement, then that conditional statement is false.

However, showing that a mathematical statement is false only requires finding one example where the statement isn't true. Such an example is called a counterexample because it's an example that counters, or goes against, the statement's conclusion.

Given statement:

if an angle is acute then it measures 20 degrees

As, we know counterexample is an example in which the hypothesis is true, but the conclusion is false.

Also, acute angles measure less than 90 degrees.

Thus, the counter example will be if an angle is acute then it measures 105 degrees

Learn more about counter example here:

https://brainly.com/question/28746172

#SPJ2

Joe has to get 80% overall in his 3 tests. He gets 60% in one of them. How much percentage does he need for both of the exams to get 80% overall?

Answers

Answer:

80%

90%

Step-by-step explanation:

BRAINLIEST PLEASE

Twice a number decreased by eight is sixteen.

Answers

The number is 12

16 plus 8 = 24/ 2= 12
16 plus 8 = 24 / 2 = 12

Which graph shows a system of equations with an estimated solution of (–3.4, 1.2)? On a coordinate plane, 2 lines intersect around (negative 3.5, 1.8). On a coordinate plane, 2 lines intersect around (1.3, 3.4). On a coordinate plane, 2 lines intersect around (negative 3.5, negative 1.3). On a coordinate plane, 2 lines intersect around (negative 3.4, 1.2).

Answers

Answer:

It's D.

Step-by-step explanation:

Got it on edge

Answer:

yep its D

Step-by-step explanation:

heeeeelppp please, :) please

Answers

Answer:

7/6

Step-by-step explanation:

In order to find slope when you have two ordered pairs, you use this equation: (y2-y1)/(x2-x1)

In this case, when you plug them in, you get (49-7)/(42-6), which is 42/36, which is 7/6.

Hope this helped :)

please help!! I'm confused, ignore the math book thing. And it's asking what property it is, the associative property or the communitive property?

Answers

Answer:

its associative property

Step-by-step explanation:

2+d=2+d

d=2

Can anyone please solve this?​

Answers

1. show me the question
2. wait until i get the answer
3. read my answer
4. use my answer
5. get it wrong
6. start crying lol

Solve 7x + 2 =4x+11 please i have 100 points to offer

Answers

Answer:

x=3

Step-by-step explanation:

7x+2=4x+11 ---> subtract 2 to the other side and subtract 4x to the other side

7x-4x=11-2 ---> combine like terms

3x=9 ---> divide by 3

x=3

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

7x + 2 = 4x + 11

Step 2: Solve for x

Subtract 4x on both sides:                    3x + 2 = 11Subtract 2 on both sides:                      3x = 9Divide 3 on both sides:                          x = 3

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    7(3) + 2 = 4(3) + 11Multiply:                               21 + 2 = 12 + 11Add:                                     23 = 23

Here we see that 23 does indeed equal 23.

∴ x = 3 is the solution to the equation.

Identify the range of the function shown in the graph.
A.–6 ≤ x ≤ 6
B.y is all real numbers.
C.0 ≤ y ≤ 8
D.y > 0

Answers

The answer is A

the triangle is highlighted around -6 and 6 on the x axis

7.5% sales tax on a $210 bracelet

Answers

The total cost on the bracelet would be $225.75

Answer:

225.75

Step-by-step explanation:

210*7.5%=15.75

add that 15.75 to 210

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