What's the recursive rule for the arithmetic sequence described in the following list? Use the rule to find the eighth term of the sequence.
5, 9, 13, 17, 21

Answers

Answer 1

Answer:

33

Step-by-step explanation:

T8 = A + (8 - 1) d

T8 = 5 + 7d

T8 = 5 + 7(4)

T8 = 5 + 28

T8 = 33

note : d is the common difference gotten from T2 - T1

Answer 2

Answer:

33

Step by step explanation:

Eight term of the sequence = a + 7d

where:

a= first term

d= common difference

first term = 5

common difference = 4

= 5 + 7(4)

= 5 + 28

= 33


Related Questions

What is the point- slope equation of the line through the point (-5, 5) that is perpendicular to the line whose equation is y= (5/3)x + 2? URGENT

Answers

Slope=-3/5. BBC be C. Be c. Be. C be

Simplify 6/4.
Thank tou

Answers

Answer:

2 1/2

Step-by-step explanation:

6/4=3/2=1 1/2

Answer:

6/4= 3/2

so you now divide 2 by the 3 which will give you;

1.5

Emily simplified this expression. Expression: (5−2)2+23×4 Step 1: (3)2+23×4 Step 2: 9+23×4 Step 3: 9+9×4 Step 4: 9+36 Step 5: 45 Emily made a mistake. Which step shows her first mistake? Step 1 Step 2 Step 3 Step 4​

Answers

Answer:

Step 2 shows Emily's first mistake.

Step-by-step explanation:

3(2) = 6

But instead of this Emily wrote 3(2) = 9.

determine if the relation is a function
(-1, 5), (0,3), (2,3), (3, -1)

Answers

Answer:

This relation IS a function

Answer:

This is a function

Step-by-step explanation:

Down below none of them overlap

There is no two points in the lines.

Find the midpoint of the segment with the following endpoints.
(9, 1) and (5, -7)

Answers

Answer:

7;-3

Step-by-step explanation:

9+5/2 ; 1+(-7)/2

14/2 ; -6/2

7 ; -3

What is the answer to 1/3x(15+6)?

Answers

Answer:

1/3×21

=7

Step-by-step explanation:

first step: solve the barket part

second step: Solve division or multiplication which first..Follow Rule:BODMAS stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction.

The correct answer is 7

The factors of a number are given below: 2, 4, 5, 8, 10, 16, 20, 40. What is the number?

Answers

Answer:

the answer would be 80 because it is divisible with all the numbers shown above

Hiiii I really need helppppp pls pls

Answers

Step-by-step explanation:

sas

side angle side

mark me as brainliest

PLEAD HELP ME FAST!!!!

Answers

Answer:

i can't really see to clear ..

Step-by-step explanation:

Johanna can jog 3,000 feet in 5 minutes. If she jogs at the same rate, how many feet can she jog in 10 minutes?

Answers

Answer:

6,000  ft

Step-by-step explanation:

3,000 x 2 = 6,000

6,000 feet

Step-by-step explanation:

in 5 minutes she jogs 3,000 feet

in 10 minutes she jogs 6,000 feet

10/2= 5 minutes or 5 minutes ×2 =10 minutes

3,000×2 = 6,000 feets

Write the phrase as an expression. Then evaluate when x = 3 and y = 15

Twice the sum of a number x and 8

Please I need this answer ASAP

Answers

Answer:

Put x then y u get x+y=15*2

The accompanying data represent the miles per gallon of a random sample of cars with a​ three-cylinder, 1.0 liter engine.
​(a) compute the​ z-score corresponding to the individual who obtained 37.8 miles per gallon. interpret this result.
​(b) determine the quartiles.
​(c) compute and interpret the interquartile​ range, iqr.
​(d) determine the lower and upper fences. are there any​outliers?
31.5 36.0 37.8 38.5 40.1 42.2
34.2 36.2 38.1 38.7 40.6 42.5
34.7 37.3 38.2 39.5 41.4 43.4
35.6 37.6 38.4 39.6 41.7 49.3
the​ z-score corresponding to the individual is
and indicates that the data value is
standard​ deviation(s) the
the table is for the entire problem.

Answers

Answer:

A.) - 0.2992

B.) Q1 = 36.75

Q2 = 38.45

Q3 = 41

C.) IQR = 4.25

D.) LOWER FENCE = 30.375

UPPER FENCE = 47.375

Yes, 49.3

Step-by-step explanation:

Given the data:

Arranged data in ascending order :

31.5, 34.2, 34.7, 35.6, 36.0, 36.2, 37.3, 37.6, 37.8, 38.1, 38.2, 38.4, 38.5, 38.7, 39.5, 39.6, 40.1, 40.6, 41.4, 41.7, 42.2, 42.5, 43.4, 49.3

Using calculator to save computation time :

Population mean (μ) = 38.88

Standard deviation (s) = 3.61

A.) The zscore for individual who obtained 37.8 miles per gallon :

Standardized score formula :

Z = (Score(x) - mean) / standard deviation

Z = (37.8 - 38.88) / 3.61

Z = - 1.08 / 3.61

Z = - 0.29916

Z = - 0.2992

B) The quartile ;

Lower quartile (Q1) :

1/4(n +1)th term

n = sample size = 24

1/4(24 + 1)

= 1/4(25) = 6.25th term

(6th + 7th) =(36.2 + 37.3) = 73.5/2 = 36.75

Upper quartile (Q3) :

3/4(24 +1) = 3/4(25) = 18.75th term

(18th + 19th) = (40.6 + 41.4) = 82/2 = 41

Median (Q2) :

1/2(24 +1) = 1/2(25) = 12.50th term

(12th + 13th) = (38.4 + 38.5) = 76.9/2 = 38.45

C.) interquartile range :

Q3 - Q1 = (41 - 36.75) = 4.25

D.) OUTLIER

LOWER : Q1 - 1.5(IQR) = 36.75 - 1.5(4.25) = 30.375 ; values less than 30.375

UPPER : Q3 + 1.5(IQR) = 41 + 1.5(4.25) = 47.375 ; values greater than. 47.375

can u pls help me with this question ​

Answers

Answer:

c

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Rewrite the function by completing the square.
h(x) = 4x2 + 4x + 1

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]h(x) = 4 {x}^{2} + 4x + 1 [/tex]

[tex]h(x) = ({2x + 1})^{2} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

It’s math can you help with number 3 please?

Answers

Answer:

25

Step-by-step explanation:

16+9

Answer:

The correct should be 25.

Step-by-step explanation:

If this is incorrect let me know and I will correct it.

Calculate Valume of cones and spheres

Answers

Answer:

v = 1808,64cm³

Step-by-step explanation:

big cone:

a = pi.r²

a = 3,14x12²

a = 452,16cm²

v = a.h/3

v = 452,16x12/3

v = 1808,64cm³ (that's a three)

you got the point, now you can do the others... kinda of

OBX Cart Rentals has created a website for customer access. They are trying to determine a reasonably secure number of available passwords. They have decided to allow upper case letters, lower case letters, digits (0 â 9), and the three special characters: $, ! ?. Find the number of possible 6 character passwords given each of the conditions (Note: you MUST simplify completely.)
a. The password must begin with a letter (either upper or lower case)
i. repetitions permitted
ii. repetitions not permitted
b. The password must begin with a letter and end with a special character ($, !, ?):
i. repetitions permitted
ii. repetitions not permitted

Answers

Answer:

A)

i) for repetitions

there will be : 52 * 65 * 65 * 65 * 65 * 65 = 60335112500 number of passwords

ii) for Non - repetitions

there will be : 52 * 64 * 63 * 62 * 61 * 60 =  47576954880

B)  

i) for repetitions

there will be : 52 * ( 65 )^4 * 3  =  2784697500

ii) for Non-repetitions

there will be : 52 * 63 * 62 * 61 * 60 * 3 = 2230169760

Step-by-step explanation:

Total Number of letters = 52

Number of upper case letters = 26

Number of lower case letters = 26

Number of digits ( 0 - 9 ) = 10

special characters = 3

password = 6 characters

Therefore the total number of choices = 52 + 3 + 10 = 65

A) The password must begin with a letter (either upper or lower case)

i) for repetitions

there will be : 52 * 65 * 65 * 65 * 65 * 65 = 60335112500 number of passwords

ii) for Non - repetitions

there will be : 52 * 64 * 63 * 62 * 61 * 60 =  47576954880

B)  The password must begin with a letter and end with a special character ($, !, ?):

i) for repetitions

there will be : 52 * ( 65 )^4 * 3  =  2784697500

ii) for Non-repetitions

there will be : 52 * 63 * 62 * 61 * 60 * 3 = 2230169760

what is 3 divided by 57.6

Answers

Answer:

0.0520833333 is the answer

Answer:

0.05208333333 (reoccurring)

Step-by-step explanation:

Simple bus stop division (:

Study the equation.
y = x2 - 4x - 77
Write the equation in graphing form (vertex form).

Answers

Answer:

y=(x-2)^2-81

Step-by-step explanation:

A researcher wishes to estimate within $5 the average repair cost of for a refrigerator. If she wishes to be 90% confident, how large of a sample would be necessary if the population standard deviation is $15.50?

Answers

Answer:

The sample size 'n' = 26

Step-by-step explanation:

Explanation:-

Given a researcher wishes to estimate within $5 the average repair cost of for a refrigerator

Given estimate "E" = $5

The  estimate within  the average is determined by

                [tex]E = \frac{Z_{0.10}S.D }{\sqrt{n} }[/tex]

 Level of significance    ∝ = 90 % or 10%

                                            = 0.90 or o.10

Z₀.₁₀ = 1.645

                                 [tex]E = \frac{Z_{0.10}S.D }{\sqrt{n} }[/tex]

                             [tex]5 = \frac{1.645 X15.50 }{\sqrt{n} }[/tex]

                        √n =  [tex]\frac{25.49}{5} = 5.099[/tex]

Squaring on both sides , we get

                        n = 26

Conclusion:-

The sample size 'n' = 26

For all real numbers x,if x is an integers then x is a rational number?
A.If a reak number is an integer then_
B.for all integerd x,_
C.If x _then _
D.All integers x are _

Answers

Answer:

c

Step-by-step explanation:

A circle has a radius of 13cm . Find the radian measure of the central angle 0 that intercepts an arc of length8cm . Do not round any intermediate computations, and round your answer to the nearest tenth.

Answers

Answer:

The measure of the center angle is 0.6 radians

Step-by-step explanation:

Mathematically, the length of an arc can be calculated using;

L = theta/360 * 2 * pi * r

where theta is the central angle

In this case, theta = ? , pi = 22/7 and r is 13

cm, length of arc is 8 cm

So we have ;

8 = theta/360 * 2 * pi * 13

360 * 7 * 8 = theta * 2 * 22 * 13

20,160 = 572 theta

theta = 20,160/572

theta = 35.24

let us convert this to radian measure

Mathematically, 1 degree = 0.0175 radian

Thus 35.24 degrees will be 35.24 * 0.0175 = 0.62 radians

To the nearest tenth, this is 0.6 radians

Jack wants to attend a private 4-year university that costs $32,500 a year for tuition. His parents said they will give him $15,000 each year towards tuition. If he saves his money over the next four years before college, how much money will he have to save each year?
A $1,750
B $17,500
C $175
D $4375

Answers

Answer:

b

Step-by-step explanation:

Find the value of x.
930
45°
X=
help please

Answers

Answer:

45 Degrees

Step-by-step explanation:

Compare to its other side

180°-138°=42°
Hope this helps

identify the variables in 3a+7b(c-8)

Answers

A b and c are your variables
Hope this helps

I will mark Brainliest What is the length of AB

Answers

22

Since angles A and C are equal the side AB and AC are equal so;

5x-3 = 3x+ 7
2x = 10
X = 5

Sub 5 in for x in equation for AB

5(5) -3 = 25 -3 = 22

Which statement best describes the relationship between inherited traits and genes

Answers

Where The Picture. ? Or Whole Problem

Answer:

options please

Step-by-step explanation:


Name two points on a line that has a
slope of a 5/8

Answers

24,10 and 16,5 have slope of a 5/8.

What is the slope of the linear function that
models the data in the table?

Answers

Answer:1.2

Step-by-step explanation:divide 198 by 165

Answer:

slope - 1.2

--------edge

What sample size is required if you want to estimate p with an 99.5% confidence level and an error of no more than 0.08?

Answers

Answer:

0.5

Step-by-step explanation:

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