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
Sauron [17]
3 years ago
14

A recursive rule for a geometric sequence is a1=4/9;an=3an−1

Mathematics
2 answers:
Rudik [331]3 years ago
5 0
The answer is (4/9)(3)^n-1
Mrac [35]3 years ago
3 0

Answer:

Explicit rule for this sequence is, a_n = 49\cdot (3)^{n-1}

Step-by-step explanation:

A recursive rule for a geometric sequence is a_1=49, a_n = 3a_{n-1}

First term a_1= 49

To get second term, just multiply the first term by 3

a_n = 3 a_{n-1}

a_2 = 3 a_1

a_2= 3\cdot 49

so, we get the common ratio r = 3

Now, Explicit rule for geometric sequence is given by:

a_n = a_1 \cdot (r)^{n-1}

Here, a_1= 49 and r= 3

So, explicit rule is :

a_n = 49\cdot (3)^{n-1}

You might be interested in
Which trigonometric identity can be used to prove the given statement?<br> tan0 cos0 = sin0
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

Free trigonometric identity calculator - verify trigonometric identities step-by-step This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy.

4 0
2 years ago
801 round to the nerest ten
jolli1 [7]
801 rounded to the nearest ten would be 811


8 0
3 years ago
Read 2 more answers
-3(3+x)+4(x-6)=-4 Please help me with this question
dsp73

Answer:

\boxed{ \bold{ \huge{ \sf{x = 29}}}}

Step-by-step explanation:

\sf{ - 3(3 + x) + 4(x - 6) =  - 4 }

Distribute -3 through the parentheses

Similarly, Distribute 4 through the parentheses

⇒\sf{ - 9 - 3x + 4x - 24 =  - 4}

Collect like terms

⇒\sf{x - 9 - 24 =  - 4}

Calculate

⇒\sf{x - 33 =  - 4}

Move 33 to right hand side and change it's sign

⇒\sf{x =  -  4 + 33}

Calculate

⇒\sf{x = 29}

Hope I helped!

Best regards!!

7 0
4 years ago
Students at Mendel Middle School are planning a fair for their school's fundraiser. Liam volunteers to help plan the event. The
FinnZ [79.3K]

Answer:

15 hours

Step-by-step explanation:

x is the number of hours that Liam volunteered in the first month

The next month he volunteered 1\dfrac{2}{3} times the time he volunteered the first month.

Total time he volunteered in the two months is 40 hours so

x+1\dfrac{2}{3}x=40\\\Rightarrow x+\dfrac{5}{3}x=40\\\Rightarrow \dfrac{3x+5x}{3}=40\\\Rightarrow x=\dfrac{40\times 3}{8}\\\Rightarrow x=15

Time he volunteered in the first month is 15 hours.

3 0
2 years ago
Christopher Columbus set sail from Spain in 1492. In what year did the Civil War end?
horsena [70]

Answer:

idk when did it end huhuhuhuhuhuhuhuhu

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • The width of a photograph is 4.5 in.less than the length. if the width is 9.2 in., what is the length
    7·2 answers
  • Please help me with just this one question.<br> 7th grade math
    13·1 answer
  • A bookshelf at a library holds 156 books. There are 15 bookshelves in the children's
    12·2 answers
  • A company makes baseball cards in packs of 10, boxes of 100, and cases of 1,000. A store orders a total of 15,470 cards. How can
    11·1 answer
  • A mile is 5280 feet. between which two integers is the elevation in miles
    6·2 answers
  • I don’t know how to show that the probability is 3/4 or how to work it out helppp
    5·2 answers
  • Paige DeMarco is the Vice President for University Advancement at State University. She is responsible for the capital campaign
    6·1 answer
  • What is the greatest common factor for 20y^9+5y^6
    11·1 answer
  • -2 (x + 3) need help with distributive property -_-
    15·1 answer
  • A camper ties a rope from a tree to the ground to help build a shelter. The rope is 8 feet long, and it is tied 6 feet up the tr
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!