Given a term in a geometric sequence and the common ratio. Find the explicit formula . A) a 3 =-36 , r = 6 b) a 6 =64 , r = 2

Answers

Answer 1

Answer:

Step-by-step explanation:

The explicit formula for a GP is expressed as

Tn = ar^{n-1}

a is the first term

n is the number of terms

r is the common ratio

a) If a3 = 36 and r = 6

a3 = ar^3-1

a3 = ar^2 = 36

ar^2 = 36

a(6)^2 = 36

36a = 36

a = 1

Get the nth term

Tn = 1(6)^{n-1}

Tn = 6^{n-1}

b)  If a6 = 64 and r = 2

a6 = ar^6-1

a6 = ar^5 = 64

ar^5 = 64

a(2)^2 = 64

4a = 64

a = 16

Get the nth term

Tn = 16(2)^{n-1}

Tn = 16*(2^n/2)

Tn = 8(2^n)


Related Questions

Please help!! I'll give brainlist!

Answers

Answer:

-3/5

Step-by-step explanation:

-2/5+-1/5= -3/5

I used a calculator to ensure this answer was correct

Answer: A) -3/5
This is because -2 pulse -1 is -3. And you can’t add the denominator if it’s the same. In this case the denominators are the same so u keep it as 5. So the answer would be A

0.7x9 pls answer idont know

Answers

Answer:

kuggtjbbbknh

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

dont u have a calculator lol

Brianna wants to use a pontoon boat on Saturday at the lake. She has exactly
$200 to spend on the boat rental. The rental is $30 an hour plus a $80 deposit.
How many hours can she rent the pontoon boat for? Create and solve an
equation for this situation.

Answers

Answer:

Step-by-step explanation:

She has 200

80 deposit - 200= 120 left to spend

80+30h=200

If she has 120 left to spend at 30 hr, she could have the boat for 4 hrs

80+30h=200 subtract 80 from both sides

30h=120 divide by the 30

h=4

Hi! Can someone answer and explain how you got that answer? I’m practicing for the asvab, if you can explain in the most simplified way, it’d be much appreciated

Answers

Answer:

D.)

Step-by-step explanation:

multiply every side by 5 since it's a square each side is equal!

Use the dropdown to complete the following inequality.

Answers

Answer:

>

Step-by-step explanation:

b is clearly negative

- - = +

so therefore, subtracting the negative will result in a larger answer than adding a small positive to a negative

What is the value of the expression 3/8 divided by 2/5

Answers

Answer:

0.9375

Step-by-step explanation:

A fraction would probably be 15/16

lauren wants to build a model airplane using a scale where 2 inches represents 15 feet. if the airplane is 75 feet long how many inches long should the model be?

Answers

Answer:

Its 10

Step-by-step explanation:

What is the range of the function?

Answers

Answer:

B. 2, 6, 8

Step-by-step explanation:

I just learned this

Please answer it correctly I will mark you brainlist if you show ur work

Answers

Answer:

c. 6 and 8

Step-by-step explanation:

when x is 5 Y is between 6-8.

F(5) means x is 5.

Answer:

I an guessing B

Step-by-step explanation:

According to the picture 5 is between 4 and 6 plus if you some math you and look at the line that is drawn you should get B to.

Hope that helped if not sorry. ...

what is the y- int of 27x-9y = 27

Answers

The y-intercept is (0,-3)

The x-intercept is (1,0)

Answer:the y-intercept is (0,-3)

Step-by-step explanation:use the slope intercept form y=mx + b to find y intercept

Si sabemos que en una progresión aritmética el sexto término es 29 y la diferencia es 9. ¿Cuál es el primer término?

Answers

Answer:

-16

Step-by-step explanation:

De nada

Explain your reasoning for your answer above.

I’ll give brainliest !!

Answers

Answer:

A

Step-by-step explanation:

The triangles are the same. Congruent is when all three sides are equal to each other on both triangles

Need a quick answer please

Answers

Answer:

X=10

MArk me brainliest

Step-by-step explanation:

Answer: The value of x is 10! How, you might ask, it is because it is reduced!

is y=0.3x proportional

Answers

Answer:

yes

Step-by-step explanation:

Yes






Ndmsmanama snanaamamakkwkqjjqjwjwjajajhajajs

oswald and paula share sweets in the ratio 7:4 if oswald recievies 49 sweets how many less does paula get​

Answers

Answer:

21 less

Step-by-step explanation:

49:? = 7:4

49 / 7 = 7

7 x 4 = 28

49- 28 = 21

show work / explain it​

Answers

Answer: In the Instance that she downloads 45 songs, she would pay $40.75. The equation for s songs in one month would be

Money = 7 + s(0.75)

Well, since the time span is a month we can say M is money and n is the amount of months she listens. since this is one month we know N equals 1.

So M = 7n + s(0.75)

7 being the monthly fee, n being the amount of months using the service, s being the amount of songs downloaded, and 0.75 being the cost of every song downloaded.

Step-by-step explanation:

Linear Equations with explanation plz

Answers

Answer : x = 14
hello :) The solution is in the pic below! Hope this helps!

help, thank you so much!

Answers

Answer:

-2

Step-by-step explanation:

The average rate of change over [a, b] is simply the slope of the function over [a, b] because:

[tex]let\:g(x)=f'(x)\\\frac{\int\limits^b_a {g(x)} \, dx }{b-a} = \frac{f(b)-f(a)}{b-a}[/tex]

We have to find the avg ROC over [-3, 1] so the slope over the interval is

[tex]\frac{f(1)-f(-3)}{1-(-3)} = \frac{-6 - 2}{4} = \frac{-8}{4} = -2[/tex]

Select a symbol to compare the numbers

Answers

7/10 is greater than 0.07 because 7/10 is equal to .70
7/10 because that is greater than any others so the 7/10 needs >this one

what is 7,234,000,000,000,000 written in scientific notation helpp me plss!?

Answers

Answer:

7.234x10^14 that would be it in scientific notation

Which of the following fractions is expressed in simplified form?

Answers

Answer:

There aren't any fractions

Step-by-step explanation:

PLEASE HELP
there are just as many square numbers as there are counting numbers. you can see that because you can match the squares up with the counting numbers, and you never run out of either. but doesn't it seem that there must be more counting numbers than squares since not every number is a square?

Answers

Answer:

i think its a yes

Step-by-step explanation:

2(4q+3)=4q-14

What is q?? HELP ASAP.
( Also show step by step please. )

Answers

Ok so 2(4q+3)=4q-14
2.4q=8q
2.3=6
8q+6=4q-14
8q-4q=-14-6
4q=-20
q=-20/4
q=-5

Question 1 (1 point)
Sava
1 Sarah is saving for a new car. She has the following amount in her account $175 $225. $275
and $325 after weeks 1.2.3 and 4 respectively.
How much will she have after 10 weeks?
6
• 675
575
625
600
Question 21 point)

Answers

Answer:

am sorry

Step-by-step explanation:

i had to do it for more pts

325 × 10

3350

sorry am lost need help

A student wrote four statements during math class. Which statement contains an error?

Answers

Answer:

C

Step-by-step explanation:

The answer is C if you multiply (a)38×18=684

(b)46×16=736 (c)54×14=756 the question is 766 miles meaning that c is the wrong answer .i hope this was helpful.

Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase.

Interpret the solution.

Answers

Answer:

Step-by-step explanation:

Answer:

Let x be the number of songs downloaded.

Each song is $1.29; the total cost would be found by multiplying the cost by the number of songs, or 1.29x.

This cannot be more than 20, so we set this less than or equal to 20:

1.29x ≤ 20.

To solve this, we divide both sides by 1.29:

≤ ;

x ≤15.5.

We cannot download half of a song, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.

Step-by-step explanation:

if you want the sample response then here: If x represents the number of downloads, you can write the inequality 1.29x ≤ 20. Solving the inequality, you find that x is less than or equal to about 15.5. Since he can’t download part of a song, Joseph can download 15 or fewer songs.

Solve for x. Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Answers

For this question answer is x=8

Sum of the angles on a line is 180

[tex](6x + 4) + 90 + (5x - 2) = 180 \\ 11x + 92 = 180 \\ 11x = 180 - 92 \\ 11x = 88 \\ x = \frac{88}{11} \\ \\ x = 8[/tex]

Hope this will help....

Find the circumference a circle with the diameter AB

A (-8,4) and B (4,-1)

Answers

Answer:

C = 13π ≈ 40.82 units

Step-by-step explanation:

C = 2 r π = d π

AB = [tex]\sqrt{(-8-4)^2 +(4+1)^2}[/tex] = 13 units

C = 13π ≈ 40.82 units ( π ≈ 3.14 )

The difference of the squares of two positive consecutive integers is 991. Find the integers.

Answers

Answer:

The numbers are 495 and 496.

Step-by-step explanation:

[tex](x+1)^{2} -x^{2} =991\\x^{2} +2x+1-x^{2} =991\\2x+1=991\\2x=990\\x=495[/tex]

Luis had 4 boxes of party favors. One full box contained 16 bags of favors and each bag had 5 items in it. What is the total number
items that Luis had in his possession?
O A. 360
B. 320
O C. 170
OD. 7.5

Answers

The answer is B. 320. 64 bags times 5 items in each bag.
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