Use differences to find a pattern in the sequence.
9, 16, 29, 50, 81, 124, 181
Assuming that the pattern continues, the eighth term should be

Answers

Answer 1

The 8th term of the pattern is 254.

Here the sequence is 9, 16, 29, 50, 81, 124, 181

By using differences we have :

 9,    16      29      50      81      124     181

  |___|  |___| |___|  |___|  |___|  |____|

    ↓         ↓       ↓        ↓         ↓        ↓

   +7      +13     +21     +31      +43    +57

     |____|  |___|  |___|  |____|  |____|

         ↓         ↓         ↓        ↓          ↓

        +6        +8      +10      +12      +14

           |____|  |____|  |___|  |_____|

                ↓          ↓         ↓          ↓

               +2        +2       +2        +2

Therefore to find the 8th value of the pattern

We will add 2 in 14

14 + 2 = 16

Now 16 should be added to 57

57 + 16 = 73

Now we will add 73 to the 181 we get

181 + 73 = 254

Therefore the 8th term of the pattern is 254 by using the difference.

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Related Questions

0.53 divided by 0.1=​

Answers

5,3 is the final answer

Brandon is going to invest in an account paying an interest rate of 5% compounded quarterly. How much would Brandon need to invest, to the nearest dollar, for the value of the account to reach $490 in 16 years?​

Answers

Answer:

Brandon wants $490 in 16 years by investing "x" dollars in an account that pays  5% compounded quarterly.   How much is "x"?

Principal = Total / [ (1 + (r/n) )^ n * years]

n = 4 (for compounded quarterly)

Principal = 490 / [ (1. + (.05/4)) ^ 4 * 16]

Principal = 490 / [ (1.0125)^ 64]

Principal = 490 / 2.2145324106

Principal = 221.2656710971

So, if we invested 221.27 for 16 years at 5% compounded quarterly interest,  we would have a total of $490.00

Step-by-step explanation:

Answer:

221

Step-by-step explanation:

I just know

What are the slope and y-intercept of the graph of the given equation?

y = –4x + 2

a. The slope is 2 and the y-intercept is –4.

b. The slope is 4 and the y-intercept is –2.

c. The slope is –2 and the y-intercept is –4.

d. The slope is –4 and the y-intercept is 2.

Answers

Answer:

the answer is D The slope is -4 and the y-intercept is 2

Step-by-step explanation:

the equation use is y=mx+b slope repusents M and the y-intercept repusents B hope this helps you out

COMPLETE ANSWER
THE ANSWER TO THE QUESTION IS I'M GOING TO VOTE BRAINLIEST ​

B. Give the correct managerial roles being asked.

6. One employee asks that the grievance committee be setup because he has a complaint against a co-worker.

7. A manager was given a budget of P300,000 to achieve the be distributed among different groups to achieve the project.

8. Subordinates looks to the manager to give directions sothey can follow.

9. The department head tells his department what the CEO wantsthem to do regarding a certain product.

10. Mr. Castro is assigned to give the address speech in behalf ofthe company.​

Plss.. answer the question ​

Answers

Answer:

8. Subordinates looks to the manager to give directions so they can follow.

9. The department head tells his department what the CEO wants them to do regarding a certain product.

Step-by-step explanation:

86.04005 is written in words as

Answers

Answer: eighty six point zero four zero zero five. OR eighty six and four thousand five, hundred thousandths

Step-by-step explanation:

the place value answer is a little confusing but its correct i believe

What is the prime
factorization of 200
using exponents?

Answers

The prime factorization of 200 with exponent is 23*52.

Factoring involves finding two numbers that, when multiplied together, yield the original number. But often we can factor these two factors into smaller numbers, and even find the factors of these smaller numbers. Prime factorization divides a number into a series of prime numbers and allows them all to be multiplied to equal the original number.

First, find the prime factorization of 200.

(200=2*100) (200=2*100)

(200=2*2*50) (200=2*2*50)

(200 = 2 * 2 * 2 * 25) (200 = 2 * 2 * 2 * 25)

(200 = 2 * 2 * 2 * 5 * 5) (200 = 2 * 2 * 2 * 5 * 5)

Then group similar factors together.

(2∗2∗2)∗(5∗5)(2∗2∗2)∗(5∗5)

Hence, we write the prime factorization list, but we represent the grouped factors by writing the base factors and adding exponents of the number of times they are repeated.

23 * 53

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In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class plays a sport or an instrument?

Answers

Answer:

57.14%

Step-by-step explanation:

add those 3 together and convert whats left into a percentage

2.Which of the following is NOT true? *
о
The Standard form identifies the y-intercept. It is the "c" from the equation
The Vertex form identifies the vertex
O The factored form helps to find the x-intercepts
The line of symmetry divides the quadratic graph into 4 parts

Answers

Answer:

The line of symmetry divides the quadratic graph into 4 parts

Step-by-step explanation:

The line of symmetry divides the quadratic graph into 2 parts, not 4 parts.

Since a quadratic parabola is symmetrical on two sides, the line of symmetry divides it into these 2 parts.

So, this statement is not true.

Write equations for the vertical and horizontal lines passing through the point (-3,0).

Answers

Answer:

x = -3

y = 0

Step-by-step explanation:

Which expression is equivalent to 1/1-2 sin^2(x)

Answers

Answer:

Sin x+1

Step-by-step explanation:

that should help you if it doesnt im sorry

Rick is going to buy donuts for his family. Each donut costs $1.25. If the number of donuts Rick buys is represented using the letter r, which expression represents the total cost?

Answers

The expression for the total cost is 1.25r.

How to compute the expression?

From the information given, Rick is going to buy donuts for his family and each donut costs $1.25.

Also, the number of donuts Rick buys is represented using the letter r. Therefore, the expression for the total.cost will be:

= 1.25 × r

= 1.25r

The total cost is 1.25r

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Chose the correct solution graph for the inequality.
-3x>24

i think its A but i need help

Answers

Answer:

D

Step-by-step explanation:

24/-3 = -8

since we divided by a negative, we have to flip the symbol to <

x < -8

What is the smallest 4 digit number divisible by 12, 18, and 21

Answers

Answer:

1080 ia the smallest number divisible by 12, 18, and 21

Find the equation of the line using Point-slope formula. Write the final equation using slope-intercept form. Perpendicular to 7y=x-4 and passes through the point (-2,2).

Answers

The equation of the line using point-slope formula is y-2=-7(x+2) and  the final equation using slope-intercept form is y=-7x-5

For two perpendicular lines, m1m2=-1

The line is 7y=x-4

1/7.m2=-1

m2=-7

The equation taking help of point slope form is

y-2=-7(x-(-2))

y-2=-7x-7

y=-7x-7+2

y=-7x-5 (using slope intercept form y=mx+b)

It passes through (-2,2) and is perpendicular to the given line 7y=x-4

The perpendicular lines are two lines that intersect each other and the angle formed between the two lines should be equal to 90 degrees.If two non-vertical lines in the plane intersects at a right angle then they are said to be perpendicular.

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A line passes through points (2, 1) and (-1, 3). What is the eqaution of this line?

A causal relationship means one action or event is the cause of another. A correlational relationship describes a connection between events, but it does not mean one event or action caused the other. Does the video describe a causal or correlational relationship between the health of the Lake Erie ecosystems and human needs and activities surrounding it?

Answers

The equation of a line is given as y = -2/3x + 7/3

Equation of a line

The formula for calculating the equation of a line is expressed as;

y = mx + b

where;

m is the slope

b is the y-intercept

Given the coordinate points (2, 1) and (-1, 3)

m = 3-1/-1-2

m = 2/-3

m = -2/3

Determine the y-intercept

1 = -2/3(2) + b

1= -4/3 +b

b = 1 + 4/3

b = 7/3

Hence the equation of a line is given as y = -2/3x + 7/3

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2
Using
f'(x) = instantaneous = lim f(x+h)-f(x).
rate of change
h→0
h
find f'(x) when f(x) = -4x² - 6x + 7

Answers

Explanation

[tex] \frac{ - 4(x + h)^{2} - 6(x + h) + 7 + 4 {x}^{2} + 6x - 7 }{h} \\ \frac{ - 4 {x}^{2} - 8hx - 4 {h}^{2} - 6x - 6h+ 7 + 4 {x}^{2} + 6x - 7 }{h} \\ \frac{ { - 4h}^{2} - 8hx - 6h }{h} \\ \frac{h( - 4h - 8x - 6)}{h} \\ - 4h - 8x - 6 \\ since \: you \: given \: h \: approaches \: 0 \\ - 4(0) - 8x - 6 \\ -8x - 6[/tex]

Answer

-8x-6

Jake has 3 hours before bedtime. He must spend 2 hours doing homework. The rest of his time will be spent doing
puzzles it takes Jake how to complete each puzzle. Which equation models the number of puzzles, p. Jake can
complete before bedtime?

Answers

The last one because it’s taking alway the 2 hours cause he already used it I think
B because then the 2 hours is subtracted from the 3 1/2 hours

PLEASE HELP i’ll mark brainliest

Answers

Answer:

umm...

where's the question?

What’s a segment bisector?

Answers

Answer:

A segment bisector, always passes through the midpoint of the segment and divides a segment in two equal parts.

Step-by-step explanation:

A segment bisector is something that splits a segment in half.

Like if I had a segment of 4, the segment bisector would cross through the middle and create 2 segments of 2.

Segment addition and midpoints

Answers

Answer:

[tex]16[/tex]

Step-by-step explanation:

NO=4NP=11MO=9MP=?MO=MN+NO 9=MN+4 MN=9-4 =5NP=NO+OP 11=4+OP OP=11-4 OP=7MP=MN+NO+OP =5+4+7 =16

HOPE IT HELPS

Need help ASAP PLEASE​

Answers

greater variety of age, range

9 - (-4)=?
What does that equal to?

Answers

Answer:

= 13

Step-by-step explanation:

When you are subtracting a negative both the subtraction sign and the negative cancel out. This makes it so that you are adding them together.

Answer:

the answer is 13

Step-by-step explanation:

This is because when you subtract a positive by a negative if the positive is larger it will be considered the same as addition

Is there anyone who get answers on your question?
i upload the question 30min before, but nobody answered...​

Answers

Answer:

I WILL ANSWER YOUR QUESTION BUT PICK ME AS THE BRAINLIEST 1ST

Step-by-step explanation:

I PROMISE

Select all the expressions which have 3 as the greatest common factor of the terms.
b + 3 + 6c
27n + 66p
38 – 9j + 6k
12x + 75y + 21
–32 – 24z

Answers

Answer:

27n+66p and 12x+75y+21

Step-by-step explanation:

The greatest common factor is 3 for 27n + 66p and 12x + 75y + 21.

What are Factors?

Factors of a number or an algebraic expression are the numbers or expressions which divides the given number evenly.

For example, 10 = 2 × 5

So we can say that 2 and 5 are factors of 10.

Greatest common factor of two numbers or expressions, as the name suggests is the greatest of all the common factors of the given numbers or expressions.

Consider 27n + 66p

Factors of 27n are 1, 3, 9 and 27

Factors of 66p are 1, 2, 3, 6, 11, 22, 33 and 66

Greatest common factor of both = 3

Consider 12x + 75y + 21.

Common factors of three of them are 1 and 3.

Greatest common factor is 3.

Hence the expression with greatest common factor as 3 are 27n + 66p and 12x + 75y + 21.

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Alejandra can husk 8 ears of corn in 24 minutes. At this rate, how many ears of corn can she husk in 33 minutes?

Answers

Answer:

11

Step-by-step explanation:

Her rate is 3 minutes per one ear.

33/3 = 11

(D) 99 is the answer I took the test.

Select the better answer for the definition: Exponent.

1. Represents both an integer exponent and an nth root. The root is found in the
denominator and the integer exponent is found in the numerator.

2. There is no correct answer given

3. The value inside the radical symbol. The value you want to take the root of.

4. A number that determines how many times to use that number in a multiplication

5. An expression that has a square root, cube root, etc.

Answers

Answer: 4

Step-by-step explanation:

If I had 3 to the power of 4, I would multiply it by three 4 times. (3x3x3x3=81) The exponent is telling me how many times to use 3 in multiplication

This is my 100th answer :D

You set a goal of creating a $16,000 emergency fund. You earn a salary of $40,000 per year
and decide to save 20% of your gross pay. How long will it take for you to achieve your goal?
A. 6 months
B. 1 year
C. 2 years
D. 3 years

Answers

Answer:

the answer is  C. 2 years

20% of 40000 is 8000, remember that gross pay is for the end of the year not monthly

Step-by-step explanation:

It will take 2 years for you to achieve your goal. which is the correct answer would be an option (C).

Given that,

You set a goal of creating a $16,000 emergency fund. You earn a salary of $40,000 per year and decide to save 20% of your gross pay.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Calculating 20% of the gross pay:

⇒ 20% of 40,000 = 0.20(40,000) = 8000

Since the set a goal of creating a $16,000 emergency fund.

So the required time will be :

⇒ 16,000/ 8000 = 2

Thus, it will take 2 years for you to achieve your goal.

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50 points. Which option is it?

Answers

Answer:

You ready chose the answer

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

49 students are enrolled in health and 21 students are not what percentage of students in the school are in rolled in Health 

Answers

Answer:

im pretty sure its 30%. because 70% are in heath. so 30% of the students arent. i think... hope this helped.

Step-by-step explanation:

Answer:

i'm pretty sure its 30%.

Step-by-step explanation:

because 70% are in heath. so 30% of the students arent. i think... hope this helped.

Can anyone help with this question on laws of exponents?

Answers

That’s the answer and explanation
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