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Answer:31

Step-by-step explanation: first if n=8 you need to do 8*3 or 3*8 +7 you get 31

the terms of geometric sequence are 3, -15, 75

given,

1st term (a) = 3

second term (t2)=-15

common ratio (r) = t2/t1

=-15/3

=-5

then

t13= ar^n-1

=3×(-5)^13-1

=3×244140625

=3×244140625

=732421875.

The [tex]13^{th}[/tex] term of the geometric sequence is - 732421875.

A geometric sequence is given ; 3 , -15 , 75....

We have to find the [tex]13^{th}[/tex]  term of the geometric sequence.

What is the formula for calculation of nth term of geometric Sequence ?

The formula for calculation of nth term of geometric progression is [tex]a_{n}[/tex] = [tex]a_{1}[/tex] × [tex](r)^{n-1}[/tex] where r is the common ratio of geometric sequence.

Given geometric sequence is 3 , -15 , 75....

and

Common ratio is r.

i.e., r = -15 ÷ 3 = -5

∵ [tex]n^{th}[/tex] term of a geometric sequence is given by  ;

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] × [tex](r)^{n-1}[/tex]  

where [tex]a_{1}[/tex] is the first term.

So,

[tex]13^{th}[/tex] term of the geometric sequence will be ;

[tex]a_{13}[/tex] =  3 × [tex](-5)^{12}[/tex]

[tex]a_{13}[/tex]   =  - 732421875

Thus ,  the [tex]13^{th}[/tex] term of the geometric sequence is - 732421875.              

To learn more about geometric series here:

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Answer:

$288

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 18%/100 = 0.18 per year,

then, solving our equation

I = 3200 × 0.18 × 0.5 = 288

I = $ 288.00

The simple interest accumulated

on a principal of $ 3,200.00

at a rate of 18% per year

for 0.5 years is $ 288.00.

Answer:

Step-by-step explanation:

Answer:

$9802.90

Step-by-step explanation:

17.4%  = 0.174

So retail price = 8,350 + 8,350 * 0.174

= $9802.90

Mark brainliest if this answer is right please

Answer:

9803

Step-by-step explanation:

100%-> 8350

117.4%-> 9802.90

           ≈9803

Answer:

3a+10

Step-by-step explanation:

3a+6+4

3a=10

5a-2a=3a+6+4

3a=10

Answer:

7

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

sorry if wrong

Answer: it is D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

First, let us understand that in simple terms the conjugate of a radical simply involves the change in sign of the radical

in the problem the conjugate of x+4+5

Answer:

Step-by-step explanation:

let me asnswer it on paper hold on

Answer is 136 degrees

This is because there is 180 degrees in a line and 180-44 is 136.

Answer:

21

Step-by-step explanation:

thats it 21

Hello, 928747! I can help.

So, we're trying to find out how many cups of water Dixie can drink per minute.

Since there are 60 seconds in a minute, we can assume that 1/6 of a minute is 10 seconds

1/6 = 10/60

So there are 60 seconds in a minute so we would multiply 1/3 by 6 to find how many cups she can drink in one minute

1/3 x 6 = 2

So, Dixie can drink 2 cups in one minute.

#LearnWithBrainly

https://brainly.com/question/21742939

Answer:

uhhhhhhhhh okay then I guess

Answer:a) 322 MILES  B) 34.391 ( The price per gallon was not given in units ) but if price of I gallon = lets say $2.89, then for 11.5 Gallons will be $34.391

Step-by-step explanation:

a)

M r Jones car needs 28 miles for 1 gallon = 28 MILES= 1 Gallon

Number of miles he can drive withe 11.5 gallons

1 Gallon = 28 miles

11.5 gallons = 11.5 x 28miles = 322 miles

b)  IF 1 gallon costs 2.89

11.5 gallons will  cost= 11.5 x 2.89= 34.391

Answer:

1 hour a mile

Step-by-step explanation:

Answer:

The answer is c or x=25

Step-by-step explanation:

Answer:

The value of n is 6.

Step-by-step explanation:

Given that these 2 triangles form a square so we can assume that all sides are same. Then, we have to apply Pythagoras Theorem, a² + b² = c², where a, b are sides and c is hypotenuse :

n² + n² = (6√2)²

2n² = 6² × (√2)²

2n² = 72

n² = 72 ÷ 2

n² = 36

n = √36

n = 6

Answer:

5.7

Step-by-step explanation:

They give you the value of a. Take that value and plug it into the equation.

2a + 3.1

a = 1.3

2(1.3) + 3.1

2.6 + 3.1

5.7

Hope this helped!

Answer:

x= -7

Step-by-step explanation:

-3x -5 = 16

     +5   +5

-3x = 21

divide by negative three on both sides to get your answer

Answer:

4) m∠F ≈ 67°

5) m∠x ≈ 53°

6) m∠? ≈ 16°

Step-by-step explanation:

(It's not letting me post, so I'll attach screenshots:)

Answer:

D . 16 2/3

Step-by-step explanation:

50 will be divided by 3

50/3 = 16 2/3

Answer:

Step-by-step explanation:

Distribute the negative sign

m = -4 - m +2

Add m to both sides

2m = -2

Divide by 2 on both sides

m = -1

Answer: m= -1

Step-by-step explanation:

Answer:

3

Why:

4

5

+

7

3

=

47

15

=

3 2

15

then take the 3 from that then there you go.

Answer:

x = 4

y = 5

Step-by-step explanation:

4x = x + 12

^(subtract x from both sides)^

3x = 12

^(divide both sides by 3)^

x = 4

3y = 15

(divide both sides by 3)

y = 5

Step-by-step explanation:

As the triangles are similar so,

3/9 = 4/12 = 4.5/k

Taking 3/9 and 4.5/k Then

[tex] \frac{3}{9} = \frac{4.5}{k} \\ \: cross \: multiply \\ k \: = \frac{9 \times 4.5}{3} \\ k \: = 13.5 \\hope \: it \: will \: help[/tex]