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
weeeeeb [17]
3 years ago
13

What is the explicit formula for this geometric sequence with recursive formula

Mathematics
2 answers:
Klio2033 [76]3 years ago
8 0

Answer:

Option C

Step-by-step explanation:

Given is a geometric sequence.

The recursive formula is given as

a_n = \frac{1}{3} a_{n-1}

Hence ratio of nth term to n-1th term

=\frac{a_n}{a_{n-1} } =\frac{1}{3}

r=\frac{1}{3}

I term = a_1=-7

Hence explicit formula is

a_n = -7(\frac{1}{3} )^{n-1}

Option C is right

Nonamiya [84]3 years ago
6 0

C

generate the first few terms using the recursive formula

a_{2} = - 7 × \frac{1}{3} = - \frac{7}{3}

a_{3} = - \frac{7}{3} × \frac{1}{3} = - \frac{7}{9}

a_{4} = - \frac{7}{9} × \frac{1}{3} = - \frac{7}{27}

r = a_{2} / a_{1} = \frac{1}{3}


the n th term formula (explicit ) for a geometric sequence is

a_{n} = a_{1}r^{n-1} = - 7(\frac{1}{3})^(n - 1)


You might be interested in
Tim typed a 46-word paragraph in 3/4 of a minute. What is his typing speed per minute?
Rudik [331]

Answer: 61.33333.... wpm

Step-by-step explanation:

8 0
3 years ago
Sales at an airport shop has increased by 25 transactions to a total of 400 transactions per day. What is the increased transact
Zielflug [23.3K]

Answer:

6.66

Step-by-step explanation:

3 0
3 years ago
What is the volume of the figure down below?
11111nata11111 [884]
The answer is C. All calculations of a cone or the cone equal up to 353.77. Hope this helps!
6 0
3 years ago
Plot the x- and y-intercepts of function f(x)=x
katrin2010 [14]
Because f(x)=x, goes through origin. So x and y -intercept are one point (0,0).
5 0
3 years ago
Read 2 more answers
What is the surface area of this triangular prism rounded to the nearest tenth?
Vesna [10]
The answer is C.
SA = bh + (s1 + s2 + s3)H
SA = (6.8)(5.1) + (6.8 + 5.1 + 8.5)(2.5) = 85.68
8 0
3 years ago
Read 2 more answers
Other questions:
  • A triangle has sides of 2 inches and 7 inches. which is a possible length of the third side of the triangle?
    6·1 answer
  • which graph represents a function with the domain of all real numbers greater than or equal to -7 and less than 2
    12·2 answers
  • Describe the relationship between the value of the digits in the number 9,999,999
    9·1 answer
  • The triangular arrangement of numbers shown is known as Pascal's triangle. Use inductive reasoning to find the 6 missing numbers
    10·1 answer
  • 200 centimeters = how many meters
    8·1 answer
  • A cone has a diameter of 6ft and a slant height of 19ft.
    6·1 answer
  • PLEASE HELP! 14 POINTS AND PHOTOT ATTACHED!! A tower that is 103 feet tall cast to shadow 120 feet long. Find the angle of eleva
    11·1 answer
  • I am very confused on this question
    8·1 answer
  • Can someone help me with this? thank you!
    10·2 answers
  • Select the correct answer.<br> Which function has the same graph as x + y = 11?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!