✨LOTS OF POINTS✨
For each sequence write an explicit formula: 7. 1,5, 25, ... a_1:___ r/d:___ a_n:___
8. 29, 35, 41, ... a_1:___ r/d:___ a_n:___

For this sequence, write a recursive formula 9. 7,49,343, ... r/d:___ a_n:___​

Answers

Answer 1

Answer:

Q7. a₁ = 1 , r = 5, aₙ = 5ⁿ⁻¹Q8. a₁ = 29, d = 6, aₙ =  6n + 23Q9. a₁ = 7, r = 7, aₙ = 7aₙ₋₁

Step-by-step explanation:

Q7.

Given sequence

1, 5, 25, ...

This is a GP with the first term of a₁ = 1 and common ratio r = 5

Explicit formula is:

aₙ = 1*5ⁿ⁻¹= 5ⁿ⁻¹

Q8.

Given sequence

29, 35, 41, ...

This is an AP with the first term of a₁ = 29 and common difference d = 6

Explicit formula:

aₙ = 29 + 6(n - 1) = 29 + 6n - 6 = 6n + 23

Q9.

Given sequence

7, 49, 343, ...

This is a GP with the first term a₁ = 7 and common ratio r = 7

Recursive formula is:

aₙ = aₙ₋₁*7 = 7aₙ₋₁

Related Questions

Given 2X + 4Y = 13 and 3X + Y = 2, what is the value of X?

Answers

Answer:

x = -1/2

Step-by-step explanation:

2x + 4y = 13

3x + y = 2    (you can multiply this equation by -4 in order to eliminate the y-term)

-4(3x + y = 2)  =  -12x - 4y = -8

                        +  2x + 4y = 13

-10x = 5

x = -5/10 or -1/2

x(-1/2) + 4y = 13

-1 + 4y = 13

4y = 14

y = 14/4 or 7/2 or 3 1/2

What is 10 percent of 44

Answers

Answer:

4.4

Step-by-step explanation:

10% of 44 is 4.4

Answer:

4.4

Step-by-step explanation:

The sequence follows a times -1 pattern: 6, -6, 6, -6. Write a formula for the (n)th term of the sequence. Your “n” term must start with 1

Answers

Answer:

The formula for the nth term of the sequence is:

[tex]a_n=a_1\cdot r^{n-1}[/tex]

Step-by-step explanation:

Given the sequence

6, -6, 6, -6

A geometric sequence has a constant ratio r and is defined by

[tex]a_n=a_1\cdot r^{n-1}[/tex]

Computing the ratios of all the terms of the adjacent terms

[tex]\frac{-6}{6}=-1,\:\quad \frac{6}{-6}=-1,\:\quad \frac{-6}{6}=-1[/tex]

The ratio of all the adjacent terms is the same and equal

so

r = -1

so substituting r = -1 and [tex]a_1=6[/tex] in the geometric sequence

[tex]a_n=a_1\cdot r^{n-1}[/tex]

[tex]a_n=6\left(-1\right)^{n-1}[/tex]

Thus, the formula for the nth term of the sequence is:

[tex]a_n=a_1\cdot r^{n-1}[/tex]

what is the solution to this system? y= 2x + 2, y= x - 1

Answers

Answer:

(-3, -4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 2

y = x - 1

Step 2: Solve for x

Substitution

Substitute in y:                    2x + 2 = x - 1Isolate x terms:                    x + 2 = -1Isolate x:                              x = -3

Step 3: Solve for y

Define equation:                     y = x - 1Substitute in x:                        y = -3 - 1Subtract:                                  y = -4

Determine if the two triangles are congruent. If they are, state how you know.

((If you only know the answer to one, that’s fine. anything helps))

Answers

Answer:

bsuxnd6djsj hsujehe I am going to have 3gysuue yusbe I will get the 2ybhsie usibeh I will h eyeh and the kids g. b73 yv 6e7ueh hehe gud b y I b 6hhe I am going to have to get a few things that are not on the schedule for me and I 2.

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the sum of these numbers.
3186 + 957 =
Please Help!

Answers

Answer: 3186 + 957 = 4143

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. After 11months, he weighed 140 kilograms. He gained weight at a rate of 5.5 , point, 5 kilograms per month. Let yyy represent the sumo wrestler's weight (in kilograms) after xxx months.

Answers

Answer:

y = 5.5x + 79.5

Step-by-step explanation:

Given that:

Weight gained after 11 months = 140 kg

Rate of weight gain = 5.5kg per month

Weight in kg after x months = y

Representing the equation in the form:

y = mx + c

m = rate of water gain = slope = 5. 5

.the intercept c, can be obtained thus ;

x = 11 ; y = 140

140 = 5.5(11) + c

140 = 60.5 + c

140 - 60.5 = c

79.5 = c

Hence,

y = 5.5x + 79.5

please help me please will give brainliest to anyone who is good

show your reasons ​

Answers

Answer is D

Since the bank gave them a credit to withdraw money to pay for the play. And the play was 3,200.00. The credit is on -3,200.00.
Since each ticket is $10.00 and 1,007 ppl attended. You multiply them together
1,007 x 10 = 10,070.
Since you depositing it to the credit card the -3,200.00 will ver deducted from the 10,070.00 that you put in. So you subtract.
$10,070.00 - $3,200.00 = $6,870.00.

The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair $7, 100 is collected. How many adults and how many children were in the fair.

Answers

Answer:

580 children

420 adult

Step-by-step explanation:

y=1000 -x

-5x+10000=7100

-5x=-2900

x=580

1000-580=420 y=420

A=|3x-6| + 2 , xeR
prove that:
A=3x-4 for every x≥2​

Answers

Answer:

We know that the function IxI is such that:

IxI = x if x ≥ 0

IxI = -x if x < 0.

In this case, we have:

A = I3x - 6I + 2

If we do the same as above, we can write:

A = (3x - 6) + 2       if (3x - 6) ≥ 0

Let's look at the condition in the right, let's isolate the variable:

(3x - 6) ≥ 0

3x ≥ 6

x ≥ 6/3 = 2

Then the condition:

(3x - 6) ≥ 0

is equivalent to:

x ≥  2

Then we can write:

A = (3x - 6) + 2      if  x ≥ 2

If we simplify it further, we get:

A = 3x - 6 + 2        if  x ≥ 2

A = 3x - 4               if  x ≥ 2

This is what we wanted to prove.    

Add (−x + 4) + (3x + 2). I WILL MARK BRAINLIST!

Answers

Answer:

2x+6

Step-by-step explanation:

(-x+4)+(3x+2) remove ()

-1x+4+3x+2 combine like terms

2x+6

It’s 2(x+3)
Combine like terms for the variables (-x and 3)
Subtract 3 to get 2
And then add 4 and 2 to get 6
and divide 6 by 2 to get 3

What is the smallest data when referring to data and statistics? Word Bank: Mean, Median, Mode, Range, Quartile, Interquartile Range, Minimum, Maximum *

Answers

Answer:

Minimum

Step-by-step explanation:

Answer:

Minimum

Step-by-step explanation:

Minimum means the least or smallest amount or quantity possible, attainable, or required.

can someone help me please. thanks!​

Answers

Answer:

if you turn it sideways it looks like an acute so i think it will be 60* or 61* i am not sure  

Step-by-step explanation:

Answer:

58?

Step-by-step explanation:

1. Elena takes two triangles off of the left side and three
triangles off of the right side. Will the hanger still be
in balance, or will it tip to one side? Which side?
Explain how you know.

Answers

Answer:

Step-by-step explanation:

HELP PLEASE IM ALMOST DONE I WILL MARK BRAINLIEST

Answers

Answer:

y = 94

x = 86

Step-by-step explanation:

brainliest plz

Rewrite using a single positive exponent.
78
73

Answers

Hey! I don’t know if this is what you mean.. but I tried to understand it.

78^1
73^1

Have a good day :)

Read the caption please! Thank you :)) please help!

Answers

Answer:

[tex]\huge\boxed{\sf 360 \ degrees}[/tex]

Step-by-step explanation:

A quadrilateral (having four sides) has a sum of interior angles equal to 360 degrees.

Since, A Parallelogram has 4 sides so it is also a quadrilateral which means that the sum of its interior angles equal 360 degrees.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Solve for Z

(This should be another easy question, + there are answers you can choose from)

Answers

Answer:

Z = 6

Step-by-step explanation:

Z/12 = Cos(60°)

Z/12 = 1/2

The answer is Z=6 hope I helped

if perimeter and length of a rectanguar field are 154m and 42m respectively, find its breadth​

Answers

Answer:

Assuming you mean width not breadth (What is that)

The width would be: 35m

Step-by-step explanation:

Now its pretty staight forward

We know that the length is 42m

And the permineter is 154m

We know that the perimeter is the 2 widths and 2 lengths all added up to each other (basically very side added up)

An eaution could be used like, 2w+2l=154

We know length is 42 so

2w+2*42=154

Now just solve for W

2*42=84

2w+84=154

154-84= 70

70=2w

70/2=35

w=35

The track at the middle school is 200 meters. Rachel runs 1 ½ laps in 90 seconds. Find Rachel’s speed in meters/second

Answers

Answer:

3.33 meters per second

Step-by-step explanation:

1 1/2 laps = 200+100 = 300

use formula: distance = rate x time

t = time (in meter per second)

300 = 90t

t = 300/90 which reduces to 3.33/1

Someone help me please and thank you!! ASAP :(

Answers

Answer: Choice D)

Work Shown:

[tex](f+g)(x) = f(x)+g(x)\\\\(f+g)(x) = \frac{x-23}{x^2+9x-36}+\frac{1}{x+12}\\\\(f+g)(x) = \frac{x-23}{(x+12)(x-3)}+\frac{1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+x-3}{x^2+9x-36}\\\\(f+g)(x) = \frac{2x-26}{x^2+9x-36}\\\\[/tex]

We must require that [tex]x \ne -12[/tex] and [tex]x \ne 3[/tex] to avoid having 0 in the denominator. This is why choice D is the answer.

How many square feet of outdoor carpet will
we need for this hole?
?
12 ft
2 ft
2 ft
4 ft

Answers

The amount of carpet needed to make the hole is 44 ft²

Area

Area is the amount of space that a two dimensional object or figure occupies.

The area of the big rectangle = length * width = 12 * 4 = 48 ft²

Area of hole = length * width = 2 * 2 = 4 ft²

Amount of carpet required = 48 ft² - 4 ft² = 44 ft²

The amount of carpet needed to make the hole is 44 ft²

Find out more on area at: https://brainly.com/question/25292087

Solve the system using elimination.

−3 − 2 = −4

9 + 3 = 15

Answers

Answer:

1) −5≠−4

False

2) 12≠15

False

Step-by-step explanation: I guess this is what you looking for, hope this help

Answer:

2 is true because I solved it

5. What is the solution set for -4 x - 10 s 2?

Answers

Answer:

-4x - 20x

Step-by-step explanation:

Multiply 2 by -10

2) Pranavi can hike 4 mile in 7% minutes. How long would it take her to hike
a mile?

Answers

To calculate this, we need to divide 7 minutes by 4 miles to see how long it takes her to hike 1 mile.
7/4 = 1.75 minutes/ mile
= 1 minute and 75 seconds = 2 minutes and 15 seconds.
Glad I could help and have a fantastic day!
Also, can you please mark my answer as the brainliest answer?
Thanks.

can i have some help

Answers

Answer:

Please check explanations for answer

Step-by-step explanation:

To answer this, we need to understand something

Firstly is that we have dotted lines of the inequality line does not have an equal

to

And also, the solution is directly related to the inequality sign. If it states greater than, solution will be greater than (above the line). If it states less than, solution will be less than (below the line)

So let us take the inequalities one after the other from left to right

1. solid line and below the line

2. dotted lines and above the line

3. solid line and above the line

help plz I am being timed will give brainliest​

Answers

Answer:

-3/4

Step-by-step explanation:

2 1/2 = 5/2 = 10/4

1 3/4 = 7/4

when you subtract, you add and change the sign of the second term (add the opposite)

-10/4 + 7/4 = -3/4

PLSSSSSSS HELP ME I DON'T KNOW WHAT TO DO

Answers

Answer:

8 bulbs

Step-by-step explanation:

In the model, each + represents a dollar

4 +s for the shipping cost, 20 +s for the total cost.

Therefore we have 2x (since each bulb is $2) + 4 = 20

2x = 16

x = 8

Step-by-step explanation:

x is the number of bulbs.

We have $2x + $4 = $20.

=> $2x = $16, x = 8.

Hence Sheila can order 8 flower bulbs.

Triangle P R Q is shown. The length of P R is 4, the length of R Q is 6, and the length of P Q is 5. Law of cosines: a2 = b2 + c2 – 2bccos(A) Find the measure of AngleQ, the smallest angle in a triangle whose sides have lengths 4, 5, and 6. Round the measure to the nearest whole degree. 34° 41° 51° 56°

Answers

Answer:

41°

Step-by-step explanation:

Using cosine rule : since the 3 sides are given

p = 6 ; q = 4 ; r = 5

q² = p² + r² - 2prCosQ

2prCosQ = p² + r² - q²

COS Q = (p² + r² - q²) / 2pr

Cos Q = (6² + 5² - 4²) / 2*6*5

Cos Q = 45 / 60

Cos Q = 0.75

Q = Cos^-1 (0.75)

Q = 41.409622

Q = 41° ( nearest degree)

Answer:

Step-by-step explanation:

b 41 degrees

Simplify: -4(2 - 8x)

Answers

Answer:

32 − 8

Step-by-step explanation:

1. Rearrange terms

− 4 (2 − 8)

− 4 (− 8 + 2)

2. Distribute

− 4 (− 8 + 2)

32x - 8

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