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
Gelneren [198K]
3 years ago
8

The question is in the image below.

Mathematics
1 answer:
sineoko [7]3 years ago
3 0

Answer:

The Recursive Formula for the sequence is:

\:a_n=\frac{1}{5}\left(a_{n-1}\right)     ; a₁ = 125

Hence, option D is correct.

Step-by-step explanation:

We know that a geometric sequence has a constant ratio 'r'.

The formula for the nth term of the geometric sequence is

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

where

aₙ is the nth term of the sequence

a₁ is the first term of the sequence

r is the common ratio

We are given the explicit formula for the geometric sequence such as:

a_n=125\left(\frac{1}{5}\right)^{n-1}

comparing with the nth term of the sequence, we get

a₁ = 125

r = 1/5

Recursive Formula:

We already know that

  • a₁ = 125
  • r = 1/5

We know that each successive term in the geometric sequence is 'r' times the previous term where 'r' is the common ratio.

i.e.

a_n=ra_{n-1}

Thus, substituting r = 1/5

\:a_n=\frac{1}{5}\left(a_{n-1}\right)  

and a₁ = 125.

Therefore, the Recursive Formula for the sequence is:

\:a_n=\frac{1}{5}\left(a_{n-1}\right)     ; a₁ = 125

Hence, option D is correct.

You might be interested in
A medium water hose can fill a pool in 30 minutes. A larger water hose can fill the same pool in 20 minutes. If both hoses are t
Sladkaya [172]

t/30 + t/20 = 1

12 minutes

Step-by-step explanation:

just did the instruction on edgenuity

4 0
3 years ago
Alguien me ayuda pls
Romashka [77]

Answer:

good

Step-by-step explanation:

6 0
2 years ago
Complete the remainder of the table
marissa [1.9K]

Answer:

_3

_6/3+4=2

0=2*0/3+4=0

3=2*3/3+4=6

6=2*6/3+4

5 0
2 years ago
HELP NEEDED !!!<br> find the size of unknown angles
Karolina [17]

<em><u>Explanation</u></em><em> </em><em>:</em>

The line DF is parallel to OB, therefore Angle x = Angle y.

( because, they for corresponding angle pair which are equal. )

And the angle made by an arc at center is always double the angle made by the same arc at its boundary, hence

  • x = 22° × 2

  • x = 44°

  • y = 44° ( cuz, x = y )

8 0
2 years ago
What is logo e' rewritten using the power property?
Vikki [24]
Answer: flog6e

Step-by-step explanation:
The power property of logarithm rule is :

Logamn = nlogaM

Applying the logarithm of power rule in the given expression we have:

Log6eF= flog6e

The second option that is flog6e is the right option among all the given options.
3 0
2 years ago
Other questions:
  • Suppose m:angle a =77 degrees what is the measure of a complement of a complement of angle a
    5·1 answer
  • The town of Rayburn received 6 more inches of snow than the town of Greenville. Let g represent the amount of snow in Greenville
    6·1 answer
  • 8(4-x)=7x+2<br> What is x?
    14·2 answers
  • The length of a rectangular frame is 8 cm more than the width. The area inside the frame is 65 square cm. Find the width of the
    15·1 answer
  • Which phrase has the same meaning as the expression below?
    13·1 answer
  • BIG IDEAS MATH Chapter 8: Surface Areas of Pyramids &gt; Section Exercises 8.3 &gt; Exercise 7 Previous 7 Item 4 Find the surfac
    5·2 answers
  • Dax is buying hot chocolate for 5 people in his office (including himself). He pays for the 5 drinks and leaves a $2.00 tip.
    11·1 answer
  • What value of n makes the equation true?<br><br> -1/5n + 7 = 2<br><br><br> n =
    9·2 answers
  • We are looking at HIV positive rates among rural Chinese farmers. One of the variables studied
    6·1 answer
  • Please help im desperate. :)​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!