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
elena-14-01-66 [18.8K]
3 years ago
11

The sequence a1 = 6, an = 3an-1 can also be written as

Mathematics
1 answer:
wariber [46]3 years ago
7 0
The question as presented is incomplete, here is the complete question with the multiple choice:

The sequence a1 = 6, an = 3an − 1 can also be written as:

1) an = 6 ⋅ 3^n
2) an = 6 ⋅ 3^(n + 1) 
3) an = 2 ⋅ 3^n
4) an = 2 ⋅ 3^(n + 1)

The correct choice is option 3) an = 2⋅3^n.

If we look at the initial sequence an = 3⋅an-1, and

a1 = 3⋅a0 = 6
a0 = 6/3
a0 = 2

We can now look at the sequence.

a0 = 2
a1 = 6
a2 = 18
a3 = 54
etc...

A common factor in each of those numbers is 2, so we can rewrite the sequence by factoring out 2.

a0 = 2⋅1
a1 = 2⋅3
a2 = 2⋅9
a3 = 2⋅27

The numbers being multiplied by 2 are all factors of 3. So we can rewrite the sequence again as:

a0 = 2⋅3^0
a1 = 2⋅3^1
a2 = 2⋅3^2
a3 = 2⋅3^3

This sequence can now be rewritten as an = 2⋅3^n.
You might be interested in
Point A is located at (2, 3) on the coordinate plane. Point A is reflected over the x-axis to form point B and over the y-axis t
Mademuasel [1]

Answer:

Rectangle

Step-by-step explanation:

Well if point A is on (2,3) and you reflect it over the x axis point B would be located at (2,-3).

Then over the y axis point C would be located at (-2,-3), then reflecting that over the x axis point D is (-2,3)

<em><u>Points</u></em>

__________

A. (2,3)

B. (2,-3)

C. (-2,-3)

D. (-2,3)

__________

So graphing all these points we get a rectangle.

Because it has 4 sides that are 90 degrees and the sides opposite from each other are the same.

7 0
3 years ago
I just need #21 and #23 answered please.
kykrilka [37]
#21: Even
#23: Neither
7 0
3 years ago
Read 2 more answers
Convert 12 1/2% to a simplified fraction.
Scorpion4ik [409]
The answer is 1/8, hope this helps you :)
5 0
3 years ago
Read 2 more answers
Find 5-(-7)=5+7 simplify
lora16 [44]

Answer:

You already did the question.

Step-by-step explanation:

What's there to simplify?

5+7 = 5+7

It's just recursive.

3 0
3 years ago
Read 2 more answers
Solve both by elimination can someone help?<br> 2x-5y=-9 , 4x+5y=12<br><br> 3x-2y=12 , 7x-5y=17
lyudmila [28]

Answer:

x=1/2, y=2;    

Step-by-step explanation:

First pair:

2x-5y =-9

4x+5y=12

Add them together:

6x=3

x = 1/2

2(1/2) - 5y =-9

1-5y = -9

1+9=5y

y=10/5=2

8 0
2 years ago
Other questions:
  • Round 529 to 2 significant figures
    5·2 answers
  • Can someone help me with these five problems please i will mark as brainliest if the answers are correct
    11·1 answer
  • I need help I’ve been stuck on the question
    13·2 answers
  • Explain how to find the greatest integer plotted on a number line
    5·1 answer
  • The product of (a+b)(a-b) is a perfect square trinomial.
    7·1 answer
  • A builder is buying property to build new houses. The sizes of the lots are 1 2 , 1 3 , 1 6 , 1 2 , 1 6 , 1 2 , 1 6 , 1 2 , 1 3
    8·1 answer
  • Please solve!!!! Solve for x to the nearest tenth.
    6·1 answer
  • What is the value of the expression when x = 5? 3x^2 + 14 - 10x
    9·1 answer
  • PLSSSSSSSS HELPPPPPPP
    14·1 answer
  • Question 1 of 5 The Ridgeport school district collected data about class size in the district. The table shows the class sizes f
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!