What are the first three terms of a geometric sequence in which a5= 25 and the common ratio is 5?

Answer:

a1 =1

a2= 1/3

a3= 1/12

a4 = 1/60

Step-by-step explanation:

a(n+1) = an/(n+2)

if n=1

a(1+1)= a1/(1+2)

a2= a1/3

a2= 1/3

if n=2

a(2+1)= a2/(2+2)

a3= a2/4 = a2 × 1/4

a3= 1/3 × 1/4 = 1/12

if n=3

a(3+1)= a3/(3+2)

a4= a3/5 = a3 × 1/5

a4= 1/12 × 1/5 = 1/60

The value of [tex]\rm a_{1}, \rm a_{2}, \rm a_{3}, \rm a_{4}[/tex] for a given expression [tex]\rm a_{n+1} = {\frac {a_{n}} {n+2}[/tex] is 1, 1/3, 1/12, and 1/60.

We have given [tex]\rm a_{1} =1[/tex] and [tex]\rm a_{n+1} = {\frac {a_{n}} {n+2}[/tex] for n≥1 we need to determine the value of [tex]\rm a_{1}, \rm a_{2}, \rm a_{3}, \rm a_{4}[/tex] .

To solve for n terms, we will substitute the value of n = 1,2,3,4 and so on sequence-wise in the given expression.

if n = 1

[tex]\rm a_{1+1} = {\frac {a_{1}} {1+2}[/tex]

[tex]\rm a_{2} = {\frac {a_{1}} {3}}\\\rm a_{2} = {\frac{1} {3}[/tex]

if n = 2

[tex]\rm a_{2+1} = {\frac {a_{2}} {2+2}}\\\rm a_{3} = {\frac {1/3} {4}}\\\rm a_{3} = 1/12[/tex]

if n = 3

[tex]\rm a_{3+1} = {\frac {a_{3}} {3+2}}\\\rm a_{4} = {\frac {a_{3}} {5}}\\\rm a_{4} = 1/12 \times 1/5\\\rm a_{4} = 1/60[/tex]

So, the value of [tex]\rm a_{1}, \rm a_{2}, \rm a_{3}, \rm a_{4}[/tex] is 1, 1/3, 1/12, and 1/60.

Learn more about the substitution of values here:

https://brainly.com/question/20052796

Answer:

X=-11

Step-by-step explanation:

-67+1=6x

6x=-66

x=-11

you cancel the 1 from the right side and add it to the left then divide -66 by 6

the answer is -11

Answers:

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Explanations:

Answer:

Percent of people satisfied with the​ car  = 70%

Step-by-step explanation:

Given:

Total number of people survey = 1,400

Number of people satisfied with the​ car = 980

Find:

Percent of people satisfied with the​ car

Computation:

Percent of people satisfied with the​ car  = [Number of people satisfied with the​ car / Total number of people survey]100

Percent of people satisfied with the​ car  = [980 / 1400]100

Percent of people satisfied with the​ car  = 70%

Answer:

[tex] \angle R < \angle S < \angle Q[/tex]

Step-by-step explanation:

In ΔQRS, RS = 16, SQ = 9, and QR = 15.

From above info it is obvious that:

SQ < QR < RS

In a triangle, angle opposite to smallest side is smallest and angle opposite to largest side is largest.

Therefore,

[tex] \angle R < \angle S < \angle Q[/tex]

Answer:4x pieces of gum

Step-by-step explanation: since you don't know how much x is, the answer includes the variable.

Answer:-26

Step-by-step explanation:

Answer:

ooooooo0000000000000

Answer:

k = 25

Step-by-step explanation:

by solving it ;

i hope it helped......

Answer:

k=25

Step-by-step explanation:

6+10k=256

10k=256-6

10k=250

k=250/10

k=25

crosscheck

6+10(25)=6+250=256

Answer:

EXPLAIN

Step-by-step explanation:EXPLAIN

EXAMPLE

Answer:

yes

Step-by-step explanation:

If you are dividing it will become 1 because 10 minus 10 equals 0. Anything to the power of 0 is 1 then you keep the base which is y so the answer is y

If you are multipling the answer will be y^10  because 10 plus 10 is 20 and you keep the base which is y

Answer:

let the unit digit be x

and the tens digit be y

so x+y = 9 ---> y = 9-x

the number is 10y+x

the number reversed is 10x + y

3(10y+x) = 8(10x + y)

30y + 3x = 80x + 8y

22y = 77x

2y = 7x

2(9-x) = 7x

18 - 2x = 7x

18=9x

x=2

y=7

the number is 72

check:

number is 72

reverse is 27

is 3(72) = 8(27)

Responder:

11

Explicación paso a paso:

Dado que:

Dimensión de la habitación = 3,7 m por 4,5 m

Área de la habitación:

Largo * ancho

Los 3.7m * 4.5m

= 16,65 m²

Área de la caja de piso = 1.54m²

Número de cajas de suelo necesarias:

Área de la habitación / área de la caja de piso

16,65 m² / 1,54 m²

= 10,812

= 11 cajas de suelo

Answer: m=18

Step-by-step explanation:

Answer:

30in

Step-by-step explanation:

Length x Width = Area

Answer:

5 x 320

Step-by-step explanation:

5 x 320 = 1600

djdjjdndjdjjxjd

Answer:

800 x 2

I saw that this was your first question. Welcome to the Brainly Community

Answer:

sa tingin ko mas dapat nating pagtuonan ng pansin ang mga bagay naaningning sa ating buhay

Answer:

Step-by-step explanation:

1.25p=6600

p=6600/1.25

p=5280

Answer: 52 cm

Step-by-step explanation: 15+15=30 11+11=22 30+22=52

Answer:

52 cm (?)

Step-by-step explanation:

I'm assuming this is a rectangle.

you take each of the sides(with rectangles, two of each sides will have the same length) and add them together.

15 + 15 + 11 + 11 = 52

Answer:y = 10.5

Step-by-step explanation:

First, assign a variable to each unknown value.

Let:

x = cost of the pepperoni pizza

y = cost of the plain pizza

Next, set up equations based on the word problem. We then have the following equations:

(1) 3x + 2y = 58.50

(2) 2x + 4y = 67

Equation (1) comes from the statement: "Jack paid 58.50 for 3 pepperonies and 2 plain pizzas". Equation (2), on the other hand, translates the statement: "Jill paid 67 for 2 pepperonies and 4 plain pizzas".

To solve for two unknown variables given two independent equations, eliminate one variable first. That is, multiply equation (1) to -2.

-2[3x + 2y = 58.50]

-6x -4y = -117

Then add this to equation (2):

-6x -4y = -117

2x + 4y = 67

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

-4x        = -50

x = -50/-4 = 12.5

To solve for y, we use equation (2) and substitute the value of x which has been solved already.

2(12.5) + 4y = 67

y = 10.5

To summarize, they paid $12.50 for the pepperoni pizza while they paid $10.50 for the plain pizza.

Answer:

The exponential function is [tex]A(t) = 1000(1.004)^{12t}[/tex].

You will have $1,100.55 in the account after 2 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Deposit $1000 in a savings account that pays 4.8% interest compounded monthly.

This means that [tex]P = 1000, r = 0.048, n = 12[/tex]. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(t) = 1000(1 + \frac{0.048}{12})^{12t}[/tex]

[tex]A(t) = 1000(1 + 0.004)^{12t}[/tex]

[tex]A(t) = 1000(1.004)^{12t}[/tex]

This is the exponential function

How much will you have in your account after 2 years?

This is A(2). So

[tex]A(2) = 1000(1.004)^{24} = 1100.55[/tex]

You will have $1,100.55 in the account after 2 years.

Answer:

Wouldn't it be 7448?

Step-by-step explanation:

I multiplied 19 x 28 x 14 and got 7448?

Answer:

it is option A hope it helps

Answer:

-88

Step-by-step explanation:

i did -80-8 =-88 and to make sure you do -88+8 and you get 80 so -88 is the distance between -80 and 8

Answer:

5x- 9 is your expression

Step-by-step explanation:

Decreased means subtraction and the product of any two numbers is multiplication.

Division Keyword: Divided by, or Quotient of.

Multiplication Keyword: Product of, or Multiplied by.

Subtraction Keyword: Subtracted from, or Decreased by.

Addition Keyword: Added to, or Increased by.

If there is no Variable then place the common Variables: X, Y, Z.

Answer:

The expression is 5x-9.

Step-by-step explanation:

Product means to multiply, so you will multiply 5 and x which equals 5x

Decreased means subtracting, so you will subtract 9

Answer:

-6= -2 + b

Step-by-step explanation:

Following the y=mx+b forumla

Y= -6 the y coordinate given

MX= the slope (-1) and the x coordinate (2) you multiply them ( -1 * 2) and you get -2

B= you have nothing for b since you do not know the y-intercept

Answer:

[tex]y=-x-4[/tex]

Step-by-step explanation:

Since we already know that the slope is [tex]-1[/tex] we can use this formula to solve for the y-intercept: [tex]b=y-mx[/tex]

b is the y-intercept

m is the slope of the line

x and y are a point on the line

[tex]b=-6-(-1)(2)[/tex]

[tex]b=-4[/tex]

The equation of the line is: [tex]y=-x-4[/tex]

plz mark me brainliest. ;)

Answer:

Step-by-step explanation:

the following are true

1) yes

2)No

3)yes

4)yes

5)yes

6)no

Answer:27/40

Step-by-step explanation:

7/8-1/5  

35/40-8/40=27/40