For each sequence, find the first 4 terms and the 10th term.
a) 3n + 4
b) 4n-5

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

To find the first 4 terms substitute n = 1, 2, 3, 4 into the formula, that is

(a)

a₁ = 3(1) + 4 = 3 + 4 = 7

a₂ = 3(2) + 4 = 6 + 4 = 10

a₃ = 3(3) + 4 = 9 + 4 = 13

a₄ = 3(4) + 4 = 12 + 4 = 16

Similarly substitute n = 10 for tenth term

a₁₀ = 3(10) + 4 = 30 + 4 = 34

(b)

a₁ = 4(1) - 5 = 4 - 5 = - 1

a₂ = 4(2) - 5 = 8 - 5 = 3

a₃ = 4(3) - 5 = 12 - 5 = 7

a₄ = 4(4) - 5 = 16 - 5 = 11, and

a₁₀ = 4(10) - 5 = 40 - 5 = 35


Related Questions

2/3(6x-12)=4(2x+3)

4(4x-2)=2(8x-2)

Answers

Answer:

x=-5-4=0

Step-by-step explanation:

In a game, the probability that a spinner will land on blue is 1/4. How many times would you expect to land on blue if you spin the spinner 8 times?

Answers

Answer:

2 times

Step-by-step explanation:

A bicycle shop normally sells for 569.99. it is now on sale for 30% off. As an employee. Johnny is able to save an extra 15% off the sale price. How much, to the nearest dollar, would Johnny need to pay for the bicycle?

Answers

Answer:

$339.14

Step-by-step explanation: 569.99 * 30%=171.

569.99-171.=398.99

398.99*15% = 59.85

398.99-59.85=339.14


3/5
meter =
centimeters

Answers

Answer:

3.5 meters times 100 is equal to 350 centimeters.

Step-by-step explanation:

Answer:

60 I think 3/5 converted to a decimal would be 0.6 right?

Step-by-step explanation:

Which statement(s) describe perpendicular lines? Choose ALL that apply.

A. Perpendicular lines never meet or cross.

B. Perpendicular lines form a 90 degree angle.

C. Perpendicular lines intersect.

Answers

Perpendicular line never meet so the answer is A
The answer is B & C. Parallel line are the lines that never meet or cross.

Write the equation of the line in slope-intercept form (y = mx + b) that has a slope of 4 and passes through the point (0,2).

Answers

Answer:

I need a graph.

Step-by-step explanation:

You can also use rise over run to help you. However if you are stating me that 4 is slope. Then it will be y=4x+ something because I am not sure if 2 is the y intercept even though its on the y-axis.

A group of people attempt to bake the largest vegan cake the used 17 kilograms of cocoa powder which is about one-tenth the amount of dates. How many kilograms of cocoa powder and dates do they use?

Answers

Answer: 187 kilogram

Step-by-step explanation:

Let the kilogram of dates be represented by x.

Since they used 17 kilograms of cocoa powder which is about one-tenth the amount of dates. The dates will be:

= 1/10 × x = 17

0.1x = 17

x = 17/0.1

x = 170 kilogram

Date = 170 kilogram.

Cocoa powder = 17 kilogram

The total kilogram of date and cocoa powder used will be:

= 170 + 17

= 187 kilogram

Which statement is true about the given information

Answers

Answer:

BD = CE

Step-by-step explanation:

How do you write 156 in scientific notation?

Answers

Answer:

Why is 156 written as 1.56 x 10^2 in scientific notation?

Step-by-step explanation:

Is the following relation a function?

Answers

It is not a function because if you draw a straight line on the graph shown, it will pass more than one point. Basically the graph passes a line from more than one points it is not a function. If it passes only one point than it is a function.

Hope this helps and thank you !!

Find the measure of this angle.
Need help please and to show the work

Answers

Answer:

measure of angle MFZ: 19

Step-by-step explanation:

lets solve the equation x+9=2x-1

add 1 to 9

x+10=2x

subtract x from 2x

10=x

let us plug in 10 in for x+9

(10)+9

19

I hope this helped you :)

✨ Easy points for those who are good at finding slope ✨
( The question is “Which Graph Matches the Following Equation” )

Answers

Answer:

2nd one

Step-by-step explanation:

y=2x-1 meaning start off at -1 rise 2 run 1. not sure if that makes sense but yea the answer is the second one.

f(t) = 2t - 3
f(1) =

Answers

Here’s how I solved it

Simplify the expression: 33 - (24 + 3

Answers

Answer:

33-27

Step-by-step explanation:

Answer:

The answer is 6

Step-by-step explanation:

you do what is in the parentheses then do 33-27 which is 6

A small radio station can broadcast a distance of 16 miles in all directions. A broadcast from the radio station can reach a total area of-?​

Answers

Answer:

Step-by-step explanation:n1g4 a 103837 miles

What is the answer to this equation 20x-6=4
A. One solution: X=__
B. No solution
C. infinitely many solutions

Answers

Answer:

A.

x=1/2 or 0.50

PLLLLLEEEAAAAASSSSEEE ANSWER NEED HELP!!!!!!!!!!!!!!!!!!!!!! WILL MARK 5 STARS!!!!!!!!!!!!!!!!

Answers

Answer:

UT = 8

Step-by-step explanation:

From the picture, we can make the following equation...

5 + 2x - 6 = x + 6

By solving it we get

5 + 2x - 6 = x + 6

2x - 1 = x + 6

2x = x + 7

x = 7

Therefor if UT = 2x - 6, then UT is equal to...

2x - 6 = UT

2(7) - 6 = UT

14 - 6 = UT

8 = UT

A.
B
C
D
Multiple choice (see the picture)
Help plz

Answers

6^2 + x^2 = 12^2

36 + x^2 = 144

x^2 = 144-36

x^2 = 108

It seems most likely it is D.


What is the value of t in the equation?
-3t – 4 (t – 5) = 48

Answers

Step-by-step explanation:

-3t-4t+20=48

-7t=28

t=-4

Answer:

t = -4

Step-by-step explanation:

-3t – 4 (t – 5) = 48

Distribute

-3t -4t +20 = 48

Combine like terms

-7t +20 = 48

Subtract 20 from each side

-7t +20-20 = 48-20

-7t = 28

Divide by -7

-7t/-7 = 28/-7

t = -4

y=-x + 4 slope = y-intercept =​

Answers

Answer: y intercept is 4

Step-by-step explanation:

the number + or - after x is the y intercept

if in a parallelogram diagonals bisect each other at right angle and are equal then it is a ___________​

Answers

I think this would make all the angles and sides equal, making it a square

i need help please and thanks

Answers

Answer:

the answer is associative

Step-by-step explanation:

25 apples to 10 oranges. What is the rate of the fruit

Answers

Answer:

The rate of the fruit is 5 apples to 2 oranges.

Step-by-step explanation:

The rate of the fruit is the ratio of apples to oranges. That is, the number of apples divided by the number of oranges into its simplest fraction form:

[tex]x = \frac{25\,apples}{10\,oranges}[/tex]

[tex]x = \frac{5\,apples}{2\,oranges}[/tex]

The rate of the fruit is 5 apples to 2 oranges.

I need help with solving these math problem whoever gets them correct I mark brainliest!!!!

Answers

Answer:

red side is a leg and should be labeled a or b, the pink side is a leg and should be labeled a or b, and the light blue side is the hypotenuse and should be labeled c.

3=a or b

4=a or b

5=c

Step-by-step explanation:

4. Your job as a carpenter pays $20/hour and you worked 40 hours last week. The taxes
withheld from your wages were $83 federal tax and $19 state tax. Your total check is
a. $698
b. $720
c. $810
d. $912

Answers

Answer:

698.00 (A)

Step-by-step explanation:

20.00x40=800.00

83.00+19.00=102.00

800.00-102.00=698.00

The total amount of the check will be $698. Then the correct option is A.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Your job as a carpenter pays $20/hour and you worked 40 hours last week.

Then the amount that you earn in 40 hours will be

⇒ $20 x 40

⇒ $800

The taxes withheld from your wages were $83 federal tax and $19 state tax. Then the total amount of the check will be

⇒ $800 - $83 - $19

⇒ $800 - $102

⇒ $698

The total amount of the check will be $698. Then the correct option is A.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Here are some values of sequence Q. Write a recursive definition for the sequence.

n Q(n)
1 3
3 8
7 18​

Answers

Answer: Q(n) = Q(n - 1) + 2.5

Step-by-step explanation:

We have 3 values of the sequence Q(n)

These values are:

Q(1) = 3

Q(3) = 8

Q(7) = 18

I would think that this is a geometric sequence.

Remember that the equation for the n-th term of a geometric sequence is:

A(n) = A(1)*r^(n-1)

where r is a constant, and A(1) is the first term of the sequence.

If we rewrite the terms that we know of Q(n) in this way we get:

Q(3) = Q(1)*r^(3 - 1) = 3*r^2 = 8

Q(7) = Q(1)*r^(7 - 1) = 3*r^6 = 18

Then we have two equations:

3*r^2 = 8

3*r^6 = 18

We should see if r is the same for both equations:

in the first one we get:

r^2 = 8/3

r = (8/3)^(1/2) = 1.63

and in the other equation we get:

r^6 = 18/3

r = (18/3)^(1/6) = 1.34

Then this is not a geometric sequence.

Now let's see if this is an arithmetic sequence.

The n-th term of an arithmetic sequence is written as:

A(n) = A(1) + (n - 1)*d

where d is a constant.

If we write the terms of Q(n) that we know in this way we get:

Q(3) = Q(1) + (3 - 1)*d = 3 + 2*d = 8

Q(7) = Q(1) + (7 - 1)*d = 3 + 6*d = 18

We need to see if d is the same value for both equations.

in the first one we get:

3 + 2*d = 8

2*d = 8 - 3 = 5

d = 5/2 = 2.5

In the second equation we get:

3 + 6*d = 18

6*d = 18 - 3 = 15

d = 15/6 = 2.5

d is the same for both terms, then this is an arithmetic sequence.

An arithmetic sequence is a sequence where the difference between any two consecutive terms is always the same value (d)

Then the recursive relation is written as:

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

Then the recursive relation for Q is:

Q(n) = Q(n - 1) + 2.5

Rewrite the expression as a power of a product. 9x^{6} y^{8} pls answer quick need rn.

Answers

Answer:

In this case, 9,  x⁶  and y⁸ are all perfect squares, so we can take that out, saying:

9x⁶y⁸ = (3x³y⁴)²

Scientists discovered that a new spider can grow 5 legs every year, n top of 4 legs it already starts with. Scientist used the formula s=5L+4 in this situation, what is the dependent variable
a.s
b.5
c.l
D.4

Answers

The dependent Variable would be

D. 4

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

Answer:D. 4

Step-by-step explanation:

Add these two Fractions together: 1 and 3/4 + 5/8

Answers

Answer:

11/8

Step-by-step explanation:

3/4=6/8

6/8+5/8=11/8

Solve for 1 and 3/4 + 5/8

= 7/4 + 5/8
= 14/8 + 5/8
= 19/8
= 2 and 3/8

The old bag of marbles contains 4 blue and 3 red marbles. If you were to double the number of red and blue marbles to create a NEW bag, would the chance of pulling out a blue marble be the same as pulling a blue marble from the old bag? (this is for math class by the way-)

Answers

Answer:

The chance will be the same (4/7)

Step-by-step explanation:

Old bag

p(blue)=4/7

New bag

p(blue)=8/14=4/7

The chance will be the same (4/7) since both the red and the blue marbles are doubled at the same time implying that the ration of red to blue still remails the same.

I hope the explanation is clear. If so rate brainliest please

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