Find the 15th term of the geometric sequence
3
,

6
,
12
,
.
.
.
3,−6,12,...

Answers

Answer 1

Answer:

49152

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 3 and r = [tex]\frac{-6}{3}[/tex] = - 2 , then

a₁₅ = 3 × [tex](-2)^{14}[/tex] = 3 × 16384 = 49152

Answer 2

Answer:

The 15th term is 49152

Step-by-step explanation:

Find The 15th Term Of The Geometric Sequence 3,6,12,...3,6,12,...

Related Questions

A seafood market sold shrimp for $10.50 per pound. Due to a seafood supply shortage the cost of shrimp increased to $12.60 per pound. What was the percentage of the price increase?

plslslsl help :')

Answers

$2.10 you just need to subtract 12.60-10.50 and you get 2.10

Simplify the expression. -5/8(-3/8-1/4) ​

Answers

Answer:

25/64

Step-by-step explanation:

To get this answer, first you need to use the distributive property:

(-3/8)(-5/8) - (1/4)(-5/8)

Next, multiply:

15/64 - (-5/32)

Change the negative signs into a positive sign:

15/64 + 5/32

Multiply 5/32 by 2 on both top and bottom:

15/64 + (5)(2)/(32)(2)

You will then get:

15/64 + 10/64

Now, add the numerators. You will get:

25/64

This is your answer. I hope it helped!

DATE
PAGE NO
a) In which quadant quadrant does point
(-4,2) lie?

Answers

Answer:

Quadrant 2

Step-by-step explanation:

:)

I need to find the missing angle measurement

Answers

Answer:

60

Step-by-step explanation:

can someone help me please?

Answers

Answer:
48 feet
Explanation:
You multiply both sides of the fence by two because there are two sides (14*2=28) (10*2=20) and then you add the two sides together to get the total fencing (28+20=48)

please help me pleaseeee

Answers

Answer:

.45

Step-by-step explanation:

52+31=83

83-12=71

71+23=94

94=49=45

Divide 2,736 by 479 rounded:

Answers

Answer:

5.711

round to 8

Step-by-step explanation:

A photographic negative is 2 in. by 1.5 in. An
enlarged print from this negative has a length
of 9 in. as its shorter side. What is the length of
its longer side?

Answers

Answer:

The length of the longer side is 12 in

Step-by-step explanation:

Scaling

The dimensions of the photographic negative are 2 in by 1.5 in.

An enlarged print of it has a length of 9 in and it's equivalent to the shortest side.

Since the shortest side of the negative is 1.5 in, the scale factor is 9/1.5 = 6.

The longer side should have been enlarged by the same factor, thus the longer side is 2*6 = 12 in

The length of the longer side is 12 in

What are the opposites of 8, −5.6, 2.25, and 9 1 2 ?

Answers

Step-by-step explanation:

Ermm can you explain what you mean by "opposite of"?

Do you mean additive inverse?

Are these two expressions equivalent? explain how you know r+r+r and 3r​

Answers

Answer:

yes they are equivalent because if you were to add those R's they would make 3r

Step-by-step explanation:

r+r+r=3r

18 is 120% of what number? 21 is what percentage of 30?​

Answers

Answer:

1. 15

2. 70%

Step-by-step explanation:

What is 150% of 52 ?

Answers

Answer:

78

Step-by-step explanation:

Answer:

The answer is 78

Step-by-step explanation:

Hope this helps :) Have a wonderful day

Please would someone be able to give the answer to this Thankyou

Answers

Answer:

6×6 =36 this will answer

Answer:

It is 36

Step-by-step explanation:

Hope this helped have an amazing day!

What is 100,000,000x500,000,000

Answers

Answer:

5e+16

Step-by-step explanation:

-If x+y=10 and x-Y=6 whatis value of X3-Y3

Answers

Answer = 18


If you mean x times 3 and y times 3, x= 8 and y = 2 so (8*3)-(2*3)=18

Answer:

[tex]18[/tex]

Step-by-step explanation:

[tex]x + y = 10 (1)\\ x - y = 6(2) \: \\ 2y = 4 \: \: ie \: y = 2 \\ x + y = 10 \\ x = 10 - 2 \\ x = 8 \\ x3 - y3 = (8 \times 3) - (2 \times 3) \\ = 24 - 6 \\ = 18[/tex]

HELP NOW PLEASEEEEEEEEEEEE ANSWER NEEDS TO B POSITIVE

Answers

Answer:

1

Step-by-step explanation:

So first we do (x^5)^2 which we know is just x^10 because of exponents of powers I believe it's called, basically you just multiply the two powers.

Then you do the bottom half which is x^3 * x^7 and that equals x^10 because of the product of exponent rule,

Then we do x^10/x^10 which = 1 because the same number over the same number is always 1.

Let me know if you have any questions

Answer:

Solving the expression: [tex]\frac{(x^5)^2}{(x^7)(x^3)}[/tex] the answer is 1

Step-by-step explanation:

We need to solve the expression: [tex]\frac{(x^5)^2}{(x^7)(x^3)}[/tex]

We know that exponent rule: [tex](a^m)^n=a^{m*n}[/tex]

Applying this rule in numerator

[tex]\frac{(x^5)^2}{(x^7)(x^3)}\\=\frac{(x^{5*2})}{(x^7)(x^3)}\\=\frac{(x^{10})}{(x^7)(x^3)}[/tex]

We know the exponent rule: [tex](a^m).(a^n)=a^{m+n}[/tex]

[tex]=\frac{(x^{10})}{x^{7+3}}\\=\frac{(x^{10})}{x^{10}}[/tex]

Now, using the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

[tex]=x^{10-10}\\=x^0[/tex]

We know that [tex]a^0=1[/tex]

So, [tex]x^0=1[/tex]

Solving the expression: [tex]\frac{(x^5)^2}{(x^7)(x^3)}[/tex] the answer is 1

solve for x round your answer to the nearest tenth

Answers

Answer: x=44.6

Step-by-step explanation: 30²= 900

                                             33²= 1089

                                             900²+1089²=1989²

                                             1089²=44.6

                                             x=44.6

2. Find the
y-intercept

Answers

the y intercept is circled

7m (if m = 5).............

Answers

Answer:

the answer is 35

Step-by-step explanation:

7(5)=35

Answer:

35

Step-by-step explanation:

When a variable is next to a number it means you are doing multiplication, like 7xm. So if m=5 it would be 7x5. And 7x5= 35

7m  (m=5)

=7xm

=7x5

=35

Your class raised money by selling hot dogs and hamburgers. Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. Together you sold 108 hot dogs and hamburgers. How many of each were sold?

Answers

Answer:

Number of hot dogs sold =  56

Number of  hamburgers sold = 52

Step-by-step explanation:

Let

Number of hot dogs sold = x

Number of  hamburgers sold = y

We can make equation from given equations:

[tex]0.50x+1y=80[/tex] (Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. )

[tex]x+y=108[/tex]  (Together you sold 108 hot dogs and hamburgers.)

Now we cam solve these system of equations to find value of x and y

[tex]0.50x+y=80--eq(1)\\x+y=108--eq(2)[/tex]

Subtract both equations to get value of x:

[tex]0.50x+y=80\\x\:\:\:\:\:\:\:\: + y=108\\-\:\:\:\:\:\:\:\: -\:\:\:\:\:\: -\\---------\\-0.5x=-28\\x=\frac{-28}{-0.5}\\x=56[/tex]

We get value of x = 56

Now putting value of x in equation 2 to find value of y

[tex]x+y=108\\56+y=108\\y=108-56\\y=52[/tex]

So, we get y = 52

Therefore,

Number of hot dogs sold = x = 56

Number of  hamburgers sold = y = 52

4) The Rock Zoo nurses 37 species of big cats. Recently, a few species of big cats were
sponsored to other zoos around the country. The zoo now nurses only 25 species.
How many species of big cats were sponsored to other zoos?

Answers

Answer:

12

Step-by-step explanation:

37 species - 25 species

= 12 species

$600 is invested for a year. If the yearly  interest rate is 7.5%, how much  interest is earned in one year?

Answers

Answer:

45

Step-by-step explanation:

.075x600

Find the area of the above parallelogram

Answers

Answer:

30 units²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here

b is the horizontal measure between 2 red points, that is 6

h is the vertical measure from the lower left point to the other horizontal line, that is 5, then

A = 6 × 5 = 30 units²

The product of -3 and a number a is at least -24

Answers

Answer:

wouldn't it be -3 * 8 = -24

Step-by-step explanation:

also I love your pfp

Answer:

8

Step-by-step explanation:

-24/-3 = 8

Chau made $252 for 18 hours of work. At the same rate, how much would he make for 9 hours of work?

Answers

Answer:

$126

Step-by-step explanation:

$252/$18=$14 dollars per hour.

now take 14*9 and you get $126.

Answer:

$126

Step-by-step explanation:

Okay, so to solve this question, we need to get from 18 (hours) to 9. To do this, we obviously divide 18 by 2. Since we did this, we now have to do the same thing with the other side ($252.) 252 divided by 2 is 126. This means that if Chau made $252 in 18 hours,  he will make $126 in 9 hours.

Have a nice day! :)

Valorie made five times more baskets than her brother, Vance.

The equation v = 5n, where v represents the number of baskets Valorie made, and n represents the number of baskets Vance made, shows this relationship.

If Valorie made 55 baskets, how many baskets did Vance make?
A.
8
B.
11
C.
50
D.
60

Answers

Answer:

B. 11

Step-by-step explanation:

Valorie made five times more baskets, so if you replace the V in the equation with how many baskets she made (55), it would look like 55=5n. Divide 55 and the n by five to get rid the five in the equation. 11=n. Thus, the answer is B.

Find each unit price.Round to the nearest cent. Then determine the better buy
16 ounces for $2:39
20 ounces for $3.19

Answers

I’m pretty sure it’s 2.40 and 3.20

Answer:

2.39/16 =$0.206

3.19/20=$0.159

the better buy : 20 ounces for $3.19

Step-by-step explanation:

Consider the division expression ÷2. Select all multiplication equations that correspond to this division expression.

A. 2⋅?=

B. 7⋅?=2

C. 2⋅7=?

D. ?⋅7=2

E. ?⋅2=7

Answers

Answer: hows ur day

Step-by-step explanation:

How would you write this expression using exponents

Answers

Answer:

(-11)3 x r3 x 63

Step-by-step explanation:

Which expression is a way to represent the ratio of a to b?
B:a
b to a
a/b
b/a

Pls help

Answers

It’s 35 and 23 and also it can be mans at the the cakes
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