1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MA_775_DIABLO [31]
3 years ago
9

what is the common ratio of a geometric progression were the first term is 3 and the 4th term is 648​

Mathematics
1 answer:
zimovet [89]3 years ago
8 0

Answer:

r = 6

Step-by-step explanation:

Given

a = 3 --- First, term

T_4 = 648 --- Fourth term

Required: Determine the common ratio

The nth term of a GP is

T_n = ar^{n-1

Substitute 4 for n

T_4 = ar^{4-1

T_4 = ar^{3

Substitute 648 and 3 for T4 and 3 respectively.

648 = 3 * r^{3

r^3 = 216

Take cube roots of both sides

r =\sqrt[3]{216}

r = 6

<em>The common ratio is 6</em>

You might be interested in
in the morning a farm worker packed 3 pints of strawberriesevery 4 minutes.in the afternoon she packed 2 pints of strawberries e
nevsk [136]
In the morning
 (3/4) (strawberries / minutes) * (60/1) (minutes / hours) = 45 (strawberries / hours)
 in the afternoon
 (2/3) (strawberries / minutes) * (60/1) (minutes / hours) = (40 strawberries / hours)
 the difference between your morning and afternoon packing rates, in pints per hour is
 45-40 = 5 (strawberries / hours)
7 0
3 years ago
The ratio 5:20 written as a fraction​
iogann1982 [59]

Answer:

<em> </em><em>1</em><em>:</em><em>4</em>

<em>hope</em><em> </em><em>helpful</em><em> </em>:) !!!!

4 0
3 years ago
Read 2 more answers
What is larger 2.044 or 2.04
Rudik [331]
2.044 by just 0.004 units
4 0
3 years ago
Read 2 more answers
Please help and explain why you got it right please
gtnhenbr [62]

Answer:

y+7 = -3 ( x-4)

Step-by-step explanation:

First find two points on the graph to find the slope

( 1,2) and ( 3,-4)

The slope is given by

m = ( y2-y1)/(x2-x1)

m = ( -4-2)/(3-1)

    = -6/2

    =-3

We can use the point slope form

y - y1 = m(x-x1)  where m is the slope and x1,y1 is a point on the line

We have two choices with a slope of -3

We can either use and x coordinate of -2 or 4

for  -2, the y coordinate is not shown

for 4 , the y coordinate is -7

Using ( 4, -7) and m = -3

y--7 = -3( x- 4)

y+7 = -3 ( x-4)

4 0
3 years ago
Read 2 more answers
Simplify 3*a*2*b<br> *=multiply
morpeh [17]

Answer:

3 × a × 2 × b = 3a × 2b

7 0
4 years ago
Other questions:
  • On a beach trip, Lucy rents a bike from “Wheels by the Waves”, where they rent bikes for $12 plus $3 per hour. If Lucy spent $30
    13·2 answers
  • Pls help me give u a brainlest
    14·2 answers
  • Any 5 examples to explain the method of place value principle for converting a fraction to decimal
    8·1 answer
  • I borrowed $50 from mum and $50 from dad to buy a bag costing $97. after the purchase, i had $3 left. i returned $1 to dad and $
    15·1 answer
  • Can someone help??plzzz..
    5·1 answer
  • 6x + 10x = 64 what does x equal?
    7·2 answers
  • Can you convert radians to degrees by replacing pi with 180
    9·1 answer
  • Simplify the radical expression (-9√28a^2*1/3√63a)<br><br> show work
    8·1 answer
  • What is the answer to this?
    12·1 answer
  • Please help!!!<br><br> Refer to the spinner. Find P (even or not shaded).<br><br> A. 2/3<br> B. 1/2
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!