Write an explicit formula that represents the sequence defined by the following recursive formula



HELP IM TIMED

Write An Explicit Formula That Represents The Sequence Defined By The Following Recursive FormulaHELP

Answers

Answer 1

Answer:

The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

Step-by-step explanation:

The explicit formula of the arithmetic sequence of the recursive formula

a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where

a is the first termd is the common difference between each two consecutive termsn is the position of the number

∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6

→ Compare it with the formula above

a = -1 ⇒ 1st term

d = -6 ⇒ common difference

→ Substitute them in the form of the explicit formula

∵ a[tex]_{n}[/tex]  = -1 + (n - 1)(-6)

∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)

∴ a[tex]_{n}[/tex]  = -1 + -6n - (-6)

∴ a[tex]_{n}[/tex] = -1 - 6n + 6

→ Add the like term

a[tex]_{n}[/tex] = 5 - 6n

The explicit formula is a[tex]_{n}[/tex] = 5 - 6n


Related Questions

HELP PLEASE! IT"S DUE IN 5 MINUTES!!!

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Answer: where’s the question??

Step-by-step explanation:

Answer:

what do you need help with??

Step-by-step explanation:

PLEASE HELP! MATH! ​

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t = 12r/(r+120)

t(r+120) = 120r

tr+120t = 120r

tr-120r = -120t

r(t-120) = -120t

r = -120t/(t-120)

r = 120t/(120-t)

Find the volume of the prism, using a calculator if necessary.
4 cm
9 cm
5 cm
5 cm
12 cm

Answers

Answer:

where is the drawing l don't understand the measurements

HELPPPP PLZ !..
Find the distance from C to G.

Answers

Answer:

3/64

Step-by-step explanation:

The distance from C to G is 32 units and this can be determined by using the properties of the circumcenter of a triangle.

Given :

AG = 4x + 16

BG = 10x - 8

The following steps can be used in order to determine the distance from C to G:

Step 1 - Remember in the given diagram G is the circumcenter because all the perpendicular bisector intersects at point G.

Step 2 - Now, if G is the circumcenter then:

AG = BG = CG

Step 3 - Now, substitute the value of AG and BG in the above expression.

4x + 16 = 10x - 8

24 = 6x

x = 4

Step 4 - Now, use the relation BG = CG in order to determine the value of CG.

10(4) - 8 = CG

CG = 32

For more information, refer to the link given below:

https://brainly.com/question/22051318

Please I need helppp

A)the vertex is (0,15)
B)h=2 and k=3
C)h=3 and k=2
D) (2,3) can be used as the extra point
E) the value in the equation is positive
F) the value in the equation is negative

Answers

Answer: ksbddbcxkdbdijc

Step-by-step explanation:

A riverbank has been colonized by mink. They are an alien species that attacks local wildlife. The river authority traps and removes the minks. Each year it reduces the number by 60%. What percentage of the mink remain after 4 years?



Answers

Answer:

24%

Step-by-step explanation:

it is easy when you multiply 6 and 4 to know how many minks remain

1 Evaluate the expression 2a + b - 3 when a=5 and b=2. Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps.

Answers

Answer:

9

Step-by-step explanation:

From the question,

We are to evaluate the expression : 2a + b - 3 when a=5 and b=2.

We substitute 5 for a and 2 for b in the given expression

2a + b - 3

= 2(5) + 2 - 3

= 10 + 2 - 3

= 12 - 3

= 9

what is the slope of the line

Answers

There is no slope for this line. It’s undefined.

Answer: Undefined

Step-by-step explanation: It is Correct on Khan Academy

The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 24 minutes of calls is $21.64, and the remaining credit after 35 minutes of calls is $20.10. What is the remaining credit after 45 minutes of calls?

Answers

Answer:

The remaining credit after 45 minutes of calls is $18.70

Step-by-step explanation:

Here, we have a linear model to work with

Let us have the coordinates as follows;

(time calling time, credit remaining)

So we have two points as follows;

(24,21.64) and (35,20.10)

The slope will be;

(20.1-21.64)/(35-24) = -1.54/11 = -0.14

So the equation looks like;

y = -0.14x + c

To get the y-intercept, we simply substitute a point

Let us use (35,20.10)

20.10 = -0.14(35) + c

c = 20.10 + 4.9

c = 25

So the full equation is;

y = -0.14x + 25

So for 45 minutes, simply substitute 45 for x

We have this as:

y = -0.14(45) + 25

y = -6.3 + 25 = $18.70

CAN U PLZ HELP MEE DONT SCROLL DOWN ILL GIVE BRAINLLEST PLZ PLZZZZ

Answers

Answer:

75.4

Step-by-step explanation:

v = pi * r^2 * h

v = 3.14 * 4 * 6

v= 3.14 * 24

v= 75.36 m^3

to the nearest tenth is 75.4 m^3

In a group of 250 music lovers, 135 of them like folk songs and 150 like modem
songs. By drawing a Venn-diagram, find;
(i) how many people like both the songs?
(ii) How many people like only one song?




Please help me i will mark brainlist ​

Answers

Answer:

i cant make a diagram but here i go.

Step-by-step explanation:

250-135=115

250-150=100

100+115=215

250-215=35

So your answer is that 45 people like both, 115like modern, 100 like folk song, and 35 like both.

Ned help please ASAP!!!!!

Answers

The answer would be a (not too sure) but it makes a little bit sense

4(y-9)
brainlist question

Answers

Answer:

4y-36

Step-by-step explanation:

you distribute the 4 to y and 9

(4 x y) - ( 4 x 9)

4y - 36

Please answer and explain please asap​

Answers

Answer:

Step-by-step explanation: This is going to be a long one. In order to find slope you need the formula which is m=y2-y1/x2-x1. Basically what this means is you have to look on each of those graphs and find the points. I’ll do number one as an example. The points are located at (2,1) and (0,-3). Plug these in into your formula as such. M= (-3 - 1) / (0 - 2) which equals 2. If you have questions let me know

(11 BRAINLY POINTS!!) Which of the following numbers can be expressed as a decimal that terminates?
3 over 2 comma space 2 over 3 comma space 3 over 4 comma space 5 over 7
A.
3 over 2 and space 2 over 3
B.
3 over 4 and space 5 over 7
C.
3 over 2 and space 3 over 4
D.
2 over 3 and space 5 over 7

Answers

Answer:

I believe that it is b

Step-by-step explanation:

But correct me if i am wrong! Have a nice day!

Answer:

B. ) 3 over 4 and space 5 over 7

Step-by-step explanation:

yayayayayayayayayyaya

Answers

Answer:

thank you for points

Step-by-step explanation:

You borrow $7,000 from the Overton Credit Union to buy a used car. The credit union charges 6% interest, compounded monthly for 5 years. What’s the total amount you will have to pay back for this loan?

A= P(1+r/n) ^nt
A=Total amount after
P=Initial
r=percent rate as a decimal
n=number of times per year
t=time in years
O $7,431.74
O $9,441.95
O $9,367.58
O $9,380.67

Answers

Answer: 9441.95

P=7000
r=0.06
m=12
t=5
n=12(5)=60
Substitute into formula

If A. Acute
B. Obtuse
C. Right
D. Straight

Answers

Answer:

This question does not make sense. Is their an image that needs to be included?

Step-by-step explanation:

Answer:

Angle EAT is acute

Step-by-step explanation:


Help!- How dilations are used in everyday life ? How about similarity transformations ?? How are they meaningful

Answers

Answer: Dilations can be used in architecture in order to make a sample of their final design. They must dilate the scale and measurements to match to their sample.

A you tube plugg in: please check : (

If you could please check out our you tube channel, Evimero Academy

Thank you so much and have a wonderful day

What is the measurement of <8

Answers

Answer:

175

Step-by-step explanation:

since 1 was 152 you have to add more to get number 8

If 2+3i is a zero of a polynomial function, then______is also a zero

Answers

Yes because yes because why not yes

slope=
1/3; y-intercept = -1

Answers

Answer:

y = 1/3x - 1

Step-by-step explanation:

We can put this information in slope intercept form [ y = mx + b ], where m = slope and b = y-intercept. We are given both the slope and y-intercept so m = 1/3 and b = -1. Put this into the formula; y = 1/3x - 1

Best of Luck!

10=95/2+4^2x

Please show step by step, I am having trouble with logarithms.

Answers

Answer:

x = [tex]-\frac{75}{32}[/tex]

Step-by-step explanation:

10 = [tex]\frac{95}{2}[/tex] + [tex]4^{2}[/tex] * x

10 = [tex]\frac{5 * 19 }{2}[/tex] + ([tex]2^{2}[/tex])²x

10 = [tex]\frac{5 * 19 }{2}[/tex] + [tex]2^{2*2}[/tex] * x

x = [tex]-\frac{75}{32}[/tex]

Whats 5+5+5+5+5+5+5+5+5+5+5+5+10+10+10+10 ????? Help!!!

Answers

Answer:

100!!

Step-by-step explanation:

Hope this helps

Answer:

100

Step-by-step explanation:

5 x 12 = 60 +10 + 10 +10 +10

60 +40= 100

A bag of marbles contains 5 red marbles, 5 green marbles, 5 yellow marbles and 5 blue marbles. If Mya takes one marble at a time at random, what is the probability that she takes out a red marble the first time and a green marble the second?

Answers

Answer:

The probability that she takes out a red marble the first time and a green marble the second

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                [tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Step-by-step explanation:

Step(i):-

Given a bag of marbles contains 5 red marbles, 5 green marbles, 5 yellow marbles and 5 blue marbles

Total balls n(S) = 5red +5green +5yellow + 5blue  =  20

Total numbers cases

                         n(S) = 20C₁ = 20 ways

Step(ii):-

Let E₁ be the event of drawing one red marble from 5 red balls

                       n(E₁) = 5C₁

Let E₂ be the event of drawing one green marble from 5 green balls

                       n(E₂) = 5C₁

The two events are independent events

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                =[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Final answer:-

 The probability that she takes out a red marble the first time and a green marble the second

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                =[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Maria's dinner bill is $21.89 after tax. If she wants to leave 15% tip, what will the total cost of the dinner be

Answers

Answer:

24.56

Step-by-step explanation:

What is the slope of the line 4y = 8x+ 3 ?

Answers

Answer:

[tex]2[/tex]

Step-by-step explanation:

[tex]4y=8x+3[/tex]

To identify the slope of the line, the equation must be in the format [tex]y=mx+b[/tex], in which [tex]m[/tex] is representative of slope.

Begin by dividing both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]4[/tex]:

[tex]y=2x+\frac{3}{4}[/tex]

[tex]m=2[/tex]

Therefore, the slope of the line is 2.

-

You can check your work by graphing, and identifying the "rise over run", of the graph. This can be done by counting the distance from one point your graph to another.

What's $33.99 rounded to the nearest $1, $5 and $10

Answers

Answer:

Nearest $1: $34

Nearest $5: $35

Nearest $10: $30

Answer:

rounded to the nearest one is $40

Step-by-step explanation:

PLEASE HELP ME ILL GIVE BRAINLIEST I REALLY NEED HELP PLEASEE

Answers

Answer:

B) y<3/2x+2

Step-by-step explanation:

cause y is less than the slope of 3/2 threw the point of 2 on the y axis

also < and > meansd its a dotted line

PLEASE HELP!

Estimate 132% of 42

Answers

Answer:

55.44 i believe

Step-by-step explanation:

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