Mathematics High School

The sum of 3rd and 4th terms of GP is 108 ,The sum of 4th and 6th term of the same GP is 324 ,find common ratio

Answers

Answer 1

Complete Question

The sum of 3rd and 4th terms of GP is 108 ,The sum of 4th and 5th term of the same GP is 324 ,find common ratio

Answer:

Step-by-step explanation:

The formula for Number of term of a GP = ar^n-1

The sum of 3rd and 4th terms of GP is 108

ar² + ar³ = 108... Equation 1

ar²(1+ r) = 108 ..... Equation 1

The sum of 4th and 5th term of the same GP is 324 ,

ar³ + ar⁴= 324... Equation 2

ar³ (1 + r) = 324..... Equation 2

find common ratio

ar²(1+ r) = 108 ..... Equation 1

ar³ (1 + r) = 324..... Equation 2

Solving for r

ar²(1+ r)/ar³ (1 + r) = 108/324

1/r = 1/3

r = 3

Hence, Common ratio = 3

Related Questions

There are 5 inches of water in a bucket after 212 hours of a rainstorm. How much water will there be in the bucket after 8 hours if the rain continues at the same rate?

Answers

Answer:

0.188 inches

Step-by-step explanation:

Given that,

There are 5 inches of water in a bucket after 212 hours of a rainstorm

We need to find how much water will there be in the bucket after 8 hours if the rain continues at the same rate.

5 inches = 212 hours

1 hour = (5/212) inches

For 8 hours,

[tex](\dfrac{5}{212})\times 8\\\\=0.188\ \text{inhces}[/tex]

Hence, there will be 0.188 inches of water after 8 hours.

4. Find the area of this figure.
15 ft
10 ft
10 ft
5 ft
5 ft
5 ft
5 ft
5 ft

Answers

Answer:

I believe it is 100 ft

Step-by-step explanation:

1) Gary makes $15.00 per hour for a five-day
forty-hour work week. Also, he makes double-
time for holidays. This week, he works three
regular days and two holidays. What will be his
paycheck for this week?
A) $$40
B) $850
C) $860
D) $870
E) $880

Answers

Answer:

A) $840

Step-by-step explanation:

15•40 gives us how much money he makes a week normally

divide the result, 600, by 5 to find out how much he makes a day normally which is $120

now that we know how much he normally makes a day we can double $120 to $240 to show how much he makes on holiday days

so he makes $120 normally and $240 on holiday

120•3= 360

240•2= 480

then add

360+ 480= $840

hope this helps <3

find the area of the parallelogram

Answers

Answer:

multiply the base by the height

Step-by-step explanation:

23x13

Answer:

299 feet

Step-by-step explanation:

Okay so the cut off triangle you can move to the right side to make it a perfect rectangle. Find tha area.

13 x 23 = 299 feet

Find the area of the following
triangle:
5.7 cm
4 cm
13 cm
A= [?] cm
Enter the exact answer as a decimal.

Answers

The final statement is: Area of triangle is equal to 83.65 cm²

What is the Area of a Triangle?

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.

Given here: The dimensions of the triangle as 5.7 cm ,4 cm, 13 cm

Now the perimeter of the triangle is equal to s=5.7+4+13=22.7 cm

Therefore the area = [tex]\sqrt{22.7(22.7-5.7).(22.7-4).(22.7-13)}[/tex]

=[tex]\sqrt{6998.401}[/tex]

=83.65 cm²

Hence, The area of the triangle is equal to 53.65 cm²

Learn more about triangles here:

https://brainly.com/question/2456591

#SPJ1

solve the equation:
-1/2 (t+3) -10 = -6.5

Answers

-1/2 (t+3) -10 = -6.5

t = - 10

[tex]x^{2} +30x-60000[/tex]

Answers

Step-by-step explanation:

hello , can you please tell us what the equation is asking you to do . this way we can help you properly

If you make me go off to another site, dont answer. I just need a straight answer.
Thank you
Dont click the link if anyone posts it: It looks like this tinyurl.com/wpazsebu

Answers

yeah it’s an ip grabber or whatever

22 POINTS!!!! PLEASE HELP DUE SOON!!!
What is the slope-intercept form of the function described by this table? x 1 2 3 4 y 1 −2 −5 −8 Enter your answer by filling in the boxes. y = x +
ill mark brainliest !!!!!

Answers

Answer:

y = -3

x + 4

Step-by-step explanation:

I just took this quiz and these are the correct answers.

What is the following number in standard notation?
3.27 • 10 to the power of 5

Answers

[tex]3.27*10^{5}=327000[/tex]

What is the total surface area of the figure below?
6 cm
7 cm
13.1 cm
359.1
0 275,1
400
317.1

Answers

Answer:

275.1 I'm so sorry if it is wrong dont come at me please

Help me I’m struggling

Answers

I am not sure how to do the "Two different approaches" but I can tell you the answer.

(750-182.9) divided by 5.35 = Number of pizzas left to sell = 106

106 = answer

Hope this helped! If it did, please give brainliest! It would help a lot :D

4 drinks for $3 is a unit rate?

Answers

Answer:

No, a unit rate is a rate for one quanity such as 1 drink for 0.75 cents.

Step-by-step explanation:

Choose all the expressions that are equivalent to 587 = 1,000.
B. 587 x 0.01
A. 5.87 : 100
D. 58.7 x 0.01
C. 5.87 x 0.1
E. 587 x 0.001

Answers

Answer:CED

Step-by-step explanation:

Answer:

C, E, and D

Step-by-step explanation:

Find the area of the parallelogram shown below.
6
14
square units

Answers

Answer:

Step-by-step explanation:

Answer:

84sq units

Step-by-step explanation:

To find the area of a parallelogram, it is the same formula to find a rectangles area. L x H or Base x Height.

Have a great day!

can someone pls help me with this ;/ select ALL that apply.

Answers

Answer:

a, b and f

Step-by-step explanation:

A package for number cubes is in the shape of a right rectangular prism. The package holds 2 cubes across, 2 cubes high, and 5 cubes deep. Each edge of each number cube measures of an inch. What is the volume of the package?

Answers

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

Answer:

20 cubic inches

Step-by-step explanation:

picture explains everything ty

Answers

Answer:

between B and D.

probably D because is periodic and the line is not continuous.

Then, between the units 4 (max) and 6 (min) is decreasing

What is the surface area of the regular pyramid below?

Answers

960 is the correct answer

What is the best first step to solve the following quadratic equation?

16x2 + 38 = -40x

A
Add 40x to both sides.

B
Factor the right side.

C
Take the square root of both sides.

D
Multiply 16 by 38 and list the factors.

Answers

Answer:

Step-by-step explanation:

A which is add 40x to both sides wich is A

ANDWER CHOICES:

14cm
20cm
8cm
6cm

I NED HELP ASAP!!!!

Answers

20 cm is the answer to the question

Two angles are complementary. The larger one is 3 times the measure of the
smaller one. What is the measure of the smaller angle in degrees?
Type just the numerical value.

Answers

Answer: 22.5°

Step-by-step explanation:

Complementary angles are the angles that when we add them together, they're equal to 90°.

Let the smaller angle be represented by x.

Then, the larger one will be 3 × x = 3x

We then add both angles together and equate them to 90°. Therefore,

x + 3x = 90°

4x = 90°

x = 90/4

x = 22.5°

The smaller angle is 22.5°

HELP!!,I WILL GIVE BRAINLIEST!!!

Answers

Answer:

your answer will be Option A

Step-by-step explanation:

hope it helps

Order least to greatest
4 3/7, 2 5/8, 2.25, 3.75

Order greatest to least
5.21, 5 1/2, 4.6, 3 3/5

Answers

Answer #1

2.25,2 5/8, 3.75, 4 3/7

Answer #2

5 1/2, 5.21, 4.6, 3 3/5

Which expression shows the total area of 5 rooms, if the
sides of 3 rooms measure 17 feet each, and the sides of
2 rooms measure 15 feet each?

Answers

Answer:

3084 sq. ft

Step-by-step explanation:

for the first three rooms,

area= 6l² = 6× 17² = 1734

for the next two rooms,

area= 6l² = 6×15² = 1350

total area = 3084

What is the circumstance?

Answers

Answer:

31.4

Step-by-step explanation:

Circumference = 2 × pi × r

C = 2 × 22/7 × 5

C = 220/7

C = 31.4

Lee wants to buy two pairs of shoes. One pair costs $37.07 and the other pair costs $42.48. A pair of socks cost $8.50. If Lee buys both pairs of shoes and the two pairs of socks, how much money will he need.

Answers

Answer:

$96.55

Step-by-step explanation:

The computation of the money he would require is shown below:

Since lee wants to buy both pairs of shoes and the two pairs of socks

So the amount of money he needed is

= $37.07 + $42.48 + 2 × $8.50

= $37.07 + $42.48 + $17

= $96.55

Martha was making apple tarts. She added 1/2 cup of sugar in the beginning. Later, she added another 1/4 cup of sugar. Martha estimated that she added about 1/6 cup of sugar in all. Is Martha's estimate reasonable?

Answers

Answer: her answer is NOT reasonable because 1/2 is bigger that 1/6. The real addition to 1/2 and 1/4 is 3/4.

Step-by-step explanation:

1/2 is 2/4 and 1/4 stays the same because it is the common denominator

Add them and you get 3/4

Which of the following is the reciprocal of 1/5 ?
answers
5
1/5 5/5 1

Answers

Answer:

Step-by-step explanation:

A reciprocal is the inverse of a fraction.

To find it just flip the numerator and denominator.

1/5 becomes 5/1, or 5.

The calculated reciprocal of the number 1/5 is 5

How to determine the reciprocal of the number

From the question, we have the following parameters that can be used in our computation:

Number = 1/5

By definition, the reciprocal of a number x is represebted as

reciprocal = 1/x

In this case,

x = 1/5

Substitute the known values in the above equation, so, we have the following representation

reciprocal = 1/(1/5)

Evaluate

reciprocal = 5

Hence, the reciprocal is 5

Answers

Answer:

How much brain we talkin?

Step-by-step explanation:

???

i think the answer is 6x

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