All categories

2 years ago

Find the missing terms in the following geometric sequence.

Mathematics

1 answer:

qaws [65]2 years ago

7 0

Answer:

Answer: Option d. 36,108 is the correct answer.

Step-by-step explanation:

In this question we have given a sequence of four terms and we know the first and last term.

Now we have to calculate the ratio of the terms so that we can complete the sequence.

We know the formula of the sequence A(n) = $A(1)r^{n-1}$

Now we know A(4)=324

A(1) = 12

n = 4

So we the values in the formula

324 = $12(r^{4-1)}$

324 = $12r^{3}$

$r^{3} =\frac{324}{12}$

$r=\sqrt[3]{27}$

r = 3

So the sequence will be 12,36,108,324

You might be interested in

Candace invests $636 in an investment that pays 7% interest compounded quarterly. What is her annual effective yield? Input answ

Damm [24]

Answer:

7.19%

Step-by-step explanation:

let i be the effective rate

$(1+\frac{.07}{4})^4=(1+i)\\.071859031$

6 0

2 years ago

Read 2 more answers

2.2⋅10^6−4.3⋅10^5<br> I need help I am confused on the answer.

Tanzania [10]

1,770,000
find the first part of the equation (2200000) and then the second part (430000) and subtract

8 0

2 years ago

A paper company needs to ship paper to a large printing business. The a paper will be

eimsori [14]

Given :

A paper company needs to ship paper to a large printing business.

The paper will be shipped in small boxes and large boxes.

Each small box of paper weighs 50 pounds and each large box of paper weighs 80 pounds. A total of 19 boxes of paper were shipped weighing 1280 pounds altogether.

Find :

Determine the number of small boxes shipped and the number of large boxes shipped.

Calculations :

Let "S" be small boxes and "L" be large boxes.

Small box + Large box = 19

50S + 80L = 1280

→ 5S + 8L = 128

→ 5 (19 - L) + 8L = 128

→ 3L = 128 - 95

→ L = 33/3

→ L = 11ㅤㅤ

Finding the small box:

→ S = 19 - L

→ S = 19 - 11

→ S = 8

Therefore ,

Large boxes = 11.

Small boxes = 8.

orrrrrr

The number of small boxes is 8 and that of the large boxes is 11.

Step-by-step explanation:

Each small box of paper weighs 50 pounds and each large box of paper

weighs 80 pounds. A total of 19 boxes of paper were shipped weighing 1280 pounds altogether.

Let there are x small boxes and y large boxes.

Then,

x + y = 19 ............ (1) and

50x + 80y = 1280

⇒ 5x + 8y = 128 ............... (2)

Now, solving equations (1) and (2) we get,

5( 19 - y) + 8y = 128

⇒ 3y = 128 - 95 = 33

⇒ y = 11

Now, from equation (1) we get, x = 19 - y = 19 - 11 = 8

Therefore, the number of small boxes is 8 and that of the large boxes is 11. (Answer)

8 0

2 years ago

Julia bought stock at $281/8 per share. The value of each share increased by $65/8. How much is each share of stock now worth?

const2013 [10]

The worth of the share of stock is $ $34\frac{3}{4}$ .

<h3>What is the worth of the stock now?</h3>

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.

A mixed fraction is a fraction that is made up of a whole number and a proper fraction. A proper fraction is a number where the numerator is less than the denominator.

The worth of the stock now = purchase price + increase in the share price

28 1/8 + 6 5/8

$34 \frac{1 + 5}{8}$

$34\frac{6}{8}$ = $34\frac{3}{4}$

To learn more about fractions, please check: brainly.com/question/1114498

#SPJ1

3 0

11 months ago

Trigonometry<br> y=? x=?

tino4ka555 [31]

Answer:

y=9cm

x=90°

Step-by-step explanation:

y=9cm(being perpendicular)

x=90°=being perpendicular)

3 0

2 years ago