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Art [367]
2 years ago
5

Can You help me get this answer algebra 2?

Mathematics
1 answer:
NeTakaya2 years ago
8 0

The answer for the first sequence will be d = 0.1, a_n=a_{n-1}+0.1 and a₁ = 4

The answer for the second sequence will be d = -3 a_n=a_{n-1}-3 and a₁ = --1.

<h3>What is an arithmetic sequence?</h3>

An arithmetic sequence is a series of numbers in which the difference between the next term to its previous term remains constant for the whole series. This difference is called a common difference.

The solution for the first series will be:-

4,4.1,4.2,4.3,4.4

Common difference d = 4.1-4 = 0.1

a_n=a_{n-1}+0.1

First-term will be a₁ = 4.

The solution for the second series will be:-

-1,-4,-7,-10

Common difference d = -4-(-1)= -3

a_n=a_{n-1}-3

First-term will be a₁ = -1.

Therefore the answer for the first sequence will be d = 0.1, a_n=a_{n-1}+0.1 and a₁ = 4 and the answer for the second sequence will be d = -3 a_n=a_{n-1}-3 and a₁ = --1.

To know more about arithmetic series follow

brainly.com/question/6561461

#SPJ1

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A student studying his classmates' cars' ages reports the 5-number summary as {1, 3, 4, 8, 20}. what is the iqr for his data?
timurjin [86]

IQR for the data {1, 3, 4, 8, 20} is 5.

Interquartile Range(IQR) for a data is defined as the difference between third quartile and first quartile.

denoted by  IQR=Q₃-Q₁              (Q₃ is third quartile and Q₁ is first quartile)

The five number summary of a data set is represented as

{minimum, first quartile , second quartile , third quartile , maximum}..…(1)

According to the question

{1, 3, 4, 8, 20}

On comparing it with equation   …(1)

minimum=1

Q₁ =3    , Q₂=4 , Q₃=8 , maximum =20

IQR=Q₃-Q₁

Substituting the values we get

IQR=8-3=5.

Therefore , Interquartile Range for the data {1, 3, 4, 8, 20} is 5.

Learn more about Inter Quartile Range here brainly.com/question/28037049

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3 0
1 year ago
Radio tower had a special on rechargeable batteries. It sold AA for $1 and AAA for $0.75. It sold 42 batteries on a single day a
PIT_PIT [208]
AA = $1
AAA= $0.75

AA + AAA = 42

$1AA + $0.75AAA= $37

AA + AAA = 42
AA + AAA-AAA= 42- AAA
AA = 42- AAA

$1(42- AAA) + $0.75AAA= $37
$42 - AAA +0.75AAA = $37
$42 -0.25AAA= $37
$42-$42 -0.25AAA= $37 -$42
-0.25AAA= -5
-0.25AAA/-0.25 = -5/-0.25
AAA= 20

AA + AAA= 42
AA + 20 = 42
AA +20 -20 = 42-20
AA= 22

Check
$1AA + $0.75AAA= $37
$1(22)+ $0.75(20)= $37
$22 + $15 =$37
$37 = $37


5 0
3 years ago
Spam e-mail containing a virus is sent to 1000 e-mail addresses. After 1 second, a recipient machine broadcasts 10 new spam e-ma
pickupchik [31]

Answer:

Answer explained below

Step-by-step explanation:

Spam e-mail containing a virus is sent to 1000 e-mail addresses. After 1 second, a recipient machine broadcasts 10 new spam e-mails containing the same virus, after which the virus disables itself on that machine. (1) Write a recursive definition (i.e. recurrence relation) to show how many spam emails will be sent out after n seconds. (2) Solve the recurrence relation. (3) How many e-mails are sent at the end of 20 seconds

1.START T=0.....

1000 EMAILS SENT AND RECEIVED BY 1000 M/CS.

T=1.....

EACH OF THE M/C SENDS 10 NEW MAILS ....

.................................

LET M[N] BE THE NUMBER OF MAILS SENT OUT AFTER N SECONDS.

SO , EACH OF THESE M/CS WILL SEND 10 MAILS IN NEXT 1 SECOND.

HENCE NUMBER OF MAILS SENT IN N+1 SECONDS=M[N+1]=

M[N+1]=10*M[N].......................1

THIS IS THE RECURRENCE RELATION.....

2.SOLUTION .....

M[N+1]=10M[N]=10*10M[N-1]=10*10*10M[N-2]=........

M(N+1)=[10^1][M(N)]=[10^2][M(N-1)]=[10^3][M(N-2)]=..........=[10^N][M(1)]=[10^(N+1)][M(0)]

M[N+1]=[10^(N+1)][1000]=[10^(N+1)][10^3]=[10^(N+4)]......................................2

THIS IS THE NUMBER OF MAILS SENT AFTER N+1 SECONDS .....OR ....

M[N]=[10^(N+3)].............................................3

..................IS THE SOLUTION FOR NUMBER OF MAILS SENT AFTER N SECONDS.....

3.AFTER N=20 SECONDS , THE ANSWER IS ....

M[20]=10^(20+3)=10^23

8 0
3 years ago
Read 2 more answers
Which list of numbers is shown on the number line below?
almond37 [142]

Answer:

is A

Step-by-step explanation:

Negative 2.5, 1 and three-fourths, 50 percent, 1.5

Pls Mark Brainliest

5 0
2 years ago
Six minus a number divided by 3 equals 8. What is the number?
Gre4nikov [31]

Answer:

-18

Step-by-step explanation:

let n be the number

(6-n)/3 = 8

6-n = 24

6-24 = n

-18 = n

5 0
3 years ago
Read 2 more answers
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