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
There are 25 trees on the Jackson’s property. Twenty percent of the trees are oak trees. Which equation can be used to find the
belka [17]

Answer:

See below

Step-by-step explanation:

Number of oak trees

=  \frac{25}{100}  \times 25 \\

7 0
3 years ago
Please show your work how you solved this step by step ! Please answer this !!
erastovalidia [21]

Answer:

2x^2

Step-by-step explanation:

8 0
3 years ago
Simplify the expression: -3(4a-5b)
jok3333 [9.3K]
 −<span>3<span>(<span><span>4a</span>−<span>5b</span></span>)</span></span><span>=<span><span>(<span>−3</span>)</span><span>(<span><span>4a</span>+<span>−<span>5b</span></span></span>)</span></span></span><span>=<span><span><span>(<span>−3</span>)</span><span>(<span>4a</span>)</span></span>+<span><span>(<span>−3</span>)</span><span>(<span>−<span>5b</span></span>)</span></span></span></span><span>=<span><span>−<span>12a</span></span>+<span>15<span>b</span></span></span></span>
6 0
2 years ago
What is the equation of a circle centered at the origin with radius 20?
Colt1911 [192]
We know that
the equation of a circle is
(x-h)²+(y-k)²=r²
where 
(h,k)-----> is the center
r--------> is the radius

is the center is the point (0,0) and radius  r=20
then
(h,k) is (0,0)

(x-0)²+(y-0)²=20²---------> (x)²+(y)²=400


the answer is
the option D.)  x2 + y2 = 400
3 0
2 years ago
Helppp Urgebttt!!!
Alenkasestr [34]
C because there are 60 seconds in a minute so if you multiply 600 x 60 you get 36000
4 0
3 years ago
Other questions:
  • Find the side of a square whose area equals a triangle with a area of 28 square inches
    12·1 answer
  • I would appreciate the help!!
    12·1 answer
  • Imagine that you are conducting a poll to determine the percentage of adults who gamble at least once a month. As your sample si
    13·1 answer
  • Which group of numbers is ordered from least to greatest?
    8·2 answers
  • When two times a number is decreased by 3 the result is 11 what is the number
    10·2 answers
  • Rewrite by completing the square: 2x^2 - 10x + 5
    7·1 answer
  • Find the volume of the regular triangular pyramid.
    12·1 answer
  • F(x+h)-f(x)
    5·1 answer
  • frank went went on a road trip. After 3 hours, he noticed that he drove 195 miles. if he countinues to travel rate, how many mil
    8·1 answer
  • I need help, please and thank you
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!