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
Lunna [17]
3 years ago
6

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each verbal description of a sequen

ce with its appropriate explicit function. an = 3 · (4)n - 1 an = 4 · (2)n - 1 an = 2 · (3)n - 1 an = 4 + 2(n - 1) an = 2 + 3(n - 1) an = 3 + 4(n - 1) a geometric sequence with first term of 4 and a common ratio of 2 arrowRight an arithmetic sequence with a first term of 2 and a common difference of 3 arrowRight a geometric sequence with first term of 3 and a common ratio of 4 arrowRight an arithmetic sequence with a first term of 3 and a common difference of 4
Mathematics
1 answer:
galben [10]3 years ago
5 0

Answer:

I think the question is wrong so, I will try and explain with some right questions

Step-by-step explanation:

We are give 6 sequences to analyse

1. an = 3 · (4)n - 1

2. an = 4 · (2)n - 1

3. an = 2 · (3)n - 1

4. an = 4 + 2(n - 1)

5. an = 2 + 3(n - 1)

6. an = 3 + 4(n - 1)

1. This is the correct sequence

an=3•(4)^(n-1)

If this is an

Let know an+1, the next term

an+1=3•(4)^(n+1-1)

an+1=3•(4)^n

There fore

Common ratio an+1/an

r= 3•(4)^n/3•(4)^n-1

r= (4)^(n-n+1)

r=4^1

r= 4, then the common ratio is 4

Then

First term is when n=1

an=3•(4)^(n-1)

a1=3•(4)^(1-1)

a1=3•(4)^0=3.4^0

a1=3

The first term is 3 and the common ratio is 4, it is a G.P

2. This is the correct sequence

an=4•(2)^(n-1)

Therefore, let find an+1

an+1=4•(2)^(n+1-1)

an+1= 4•2ⁿ

Common ratio=an+1/an

r=4•2ⁿ/4•(2)^(n-1)

r=2^(n-n+1)

r=2¹=2

Then the common ratio is 2,

The first term is when n =1

an=4•(2)^(n-1)

a1=4•(2)^(1-1)

a1=4•(2)^0

a1=4

It is geometric progression with first term 4 and common ratio 2.

3. This is the correct sequence

an=2•(3)^(n-1)

Therefore, let find an+1

an+1=2•(3)^(n+1-1)

an+1= 2•3ⁿ

Common ratio=an+1/an

r=2•3ⁿ/2•(3)^(n-1)

r=3^(n-n+1)

r=3¹=3

Then the common ratio is 3,

The first term is when n =1

an=2•(3)^(n-1)

a1=2•(3)^(1-1)

a1=2•(3)^0

a1=2

It is geometric progression with first term 2 and common ratio 3.

4. I think this correct sequence so we will use it.

an = 4 + 2(n - 1)

Let find an+1

an+1= 4+2(n+1-1)

an+1= 4+2n

This is not GP

Let find common difference(d) which is an+1 - an

d=an+1-an

d=4+2n-(4+2(n-1))

d=4+2n-4-2(n-1)

d=4+2n-4-2n+2

d=2.

The common difference is 2

Now, the first term is when n=1

an=4+2(n-1)

a1=4+2(1-1)

a1=4+2(0)

a1=4

This is an arithmetic progression of common difference 2 and first term 4.

5. I think this correct sequence so we will use it.

an = 2 + 3(n - 1)

Let find an+1

an+1= 2+3(n+1-1)

an+1= 2+3n

This is not GP

Let find common difference(d) which is an+1 - an

d=an+1-an

d=2+3n-(2+3(n-1))

d=2+3n-2-3(n-1)

d=2+3n-2-3n+3

d=3.

The common difference is 3

Now, the first term is when n=1

an=2+3(n-1)

a1=2+3(1-1)

a1=2+3(0)

a1=2

This is an arithmetic progression of common difference 3 and first term 2.

6. I think this correct sequence so we will use it.

an = 3 + 4(n - 1)

Let find an+1

an+1= 3+4(n+1-1)

an+1= 3+4n

This is not GP

Let find common difference(d) which is an+1 - an

d=an+1-an

d=3+4n-(3+4(n-1))

d=3+4n-3-4(n-1)

d=3+4n-3-4n+4

d=4.

The common difference is 4

Now, the first term is when n=1

an=3+4(n-1)

a1=3+4(1-1)

a1=3+4(0)

a1=3

This is an arithmetic progression of common difference 4 and first term 3.

You might be interested in
The prime factorization of a number is 2x2x2x2x3x3 x5. What is<br> the number?
eimsori [14]
What I think is that 54
3 0
2 years ago
WILL GIVE BRAINLIEST!!!
Nostrana [21]

Answer:

J

Step-by-step explanation:

Mn=PQ

SAS requires 2 sides and you need to know that they are congruent

4 0
3 years ago
Which expressions are equivalent to 2^5x2^4? Check all that apply
KIM [24]

Answer:

Step-by-step explanation:

2^9

2^-2 * 2^11

(2*2*2*2*2)*(2*2*2*2)

8 0
3 years ago
What is the next number on sequence 2 7 8 3 12 9
Kamila [148]
The term of this sequence is: 
<span>-(17/30)n^5+(113/12)n^4-(173/3)n^3+(1915/12)n^2-(5813/30)n+85 </span>
<span>Therefore,term number 7 is:-146/1=-146 </span>
8 0
3 years ago
A parabola has vertex (2, 3) and contains the point (0, 0). find an equation that represents this parabola.
AfilCa [17]
First write it in vertex form :-

y= a(x - 2)^2 + 3    where a is some constant.

We can find the value of a  by substituting the point (0.0) into the equation:-

0  = a((-2)^2 + 3

4a = -3

a = -3/4

so our equation becomes  y =  (-3/4)(x - 2)^2 + 3




7 0
2 years ago
Other questions:
  • Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?
    7·2 answers
  • A population of 200 animals has a growth rate of 13% each year. What will the population be after 3 years?
    11·1 answer
  • Which has a larger value: 4 x 10^2 or 7 x 10^4?
    12·2 answers
  • Sandy works at a clothing store. She makes $6 per hour plus earns 10% commission on her sales. She worked 78 hours over the last
    15·1 answer
  • What is the result when 12x^3 + 25x^2 + 4x – 1 is divided by<br> 3x + 1?
    12·1 answer
  • Spencer and Hanna buy a pizza for $18 that is half pepperoni and half veggie. They cut the pizza into 8 slices.
    11·1 answer
  • X + 3x² – 28x <br><br> Can you guys help me solve this in ax^2+bx+c <br> Thank you thank you
    7·1 answer
  • Hey guys could someone please help me?
    8·1 answer
  • Write down three integers below 25 with the range of 10 and the mean of 13
    6·1 answer
  • Help (this for a friend)<br> a 62.1<br> b 117.4<br> c 122.1<br> d 164.5
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!