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
melamori03 [73]
3 years ago
7

I got the first two can you help me with the last one PLZ

Mathematics
1 answer:
Nat2105 [25]3 years ago
4 0

1. Geometric Sequence

2. a_n = a_{n-1} * 3

3. a_n = 6 * (3)^{n-1}

Step-by-step explanation:

Given sequence is:

6, 18, 54, 162,....

Here

a_1 =6\\a_2 = 18\\a_3 = 54

(a) Is this an arithmetic or geometric sequence?

We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.

We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

r = \frac{a_2}{a_1} = \frac{18}{6}= 3\\r = \frac{a_3}{a_2} = \frac{54}{18} = 3

As the common ratio is same, the given sequence is a geometric sequence.

(b) How can you find the next number in the sequence?

Recursive formulas are used to find the next number in sequence using previous term

Recursive formula for a geometric sequence is given by:

a_n = a_{n-1} * r

In case of given sequence,

a_n = a_{n-1} * 3

So to find the 5th term

a_5 = a_4*3\\a_5 = 162*3\\a_5 = 486

(c) Give the rule you would use to find the 20th week.

In order to find the pushups for 20th week, explicit formul for sequence will be used.

The general form of explicit formula is given by:

a_n = a_1 * r^{n-1}

Putting the values of a_1 and r

a_n = 6 * (3)^{n-1}

Hence,

1. Geometric Sequence

2. a_n = a_{n-1} * 3

3. a_n = 6 * (3)^{n-1}

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

You might be interested in
There are no solutions to the system of inequalities shown belov
Aleks04 [339]

Answer:

B. False

step by step explanation

3 0
2 years ago
I need help with this one I try doing it and I don’t think I’m getting it
skad [1K]

Answer:

C) P=56cm^2

Step-by-step explanation:

P=(a*h)/2 a=14, h=8

P=(14*8)/2

P=112/2

P=56

6 0
2 years ago
Read 2 more answers
If a player rolls 2 dice and gets a sum of 2 or 12, he wins $30. If the person gets a 7, he wins $10. Otherwise he wins nothing.
makkiz [27]

If they were to win $30 they would expect to get $27 in profit.

If they were to win $10 they would expect $7.

If they were to win $0 they would expect $-3 in profit, so technically if they win nothing they lose money.

Hope I could help! :D

7 0
3 years ago
– 3х + 5y = – 4<br> px + 25y = 4<br> what value of p makes this system inconsistent
Sliva [168]

Answer:

  • p = -15

Step-by-step explanation:

<u>Line 1</u>

  • -3x + 5y = -4
  • 5y = 3x - 4
  • y = 3/5x - 4/5

<u>Line 2</u>

  • px + 25 y = 4
  • 25y = -px + 4
  • y = -p/25x + 4/25

<u>The system is inconsistent if slopes are same, so we should have:</u>

  • 3/5 = - p/25
  • 25*3/5 = -25p/25
  • 15 = -p
  • p = -15
7 0
3 years ago
Read 2 more answers
Evaluate 3(a b c)2 for a = 2, b = 3, and c = 4.
DiKsa [7]
3(a b c)2 so acc. To ques. 3(2×3×4)2 3(24)2 = 144
6 0
3 years ago
Other questions:
  • a tube of lipstick cost $12.50 plus 7% tax what will you pay at the checkout will mark brainiest show ur work ty so much
    6·1 answer
  • HELP! Match the range of the function f(x)=x^2+2x-1 to its domain
    5·1 answer
  • Which ordered pair makes the inequality true? X+y&gt;8
    9·1 answer
  • The hypotenuse of a right triangle is 15cm long. One of the triangle’s legs is two times the length of the other leg. Find the l
    6·2 answers
  • Explain how to find the greatest integer plotted on a number line
    5·1 answer
  • 25 POINTS + BRAINLIEST IF YOU EXPLAIN ANSWER
    6·2 answers
  • Suppose I am playing a sport that does not allow me to end a match in a tie​ (AKA I have to either win or​ lose). If my probabil
    9·1 answer
  • What is the sum of -4 1/2 + 3 14
    11·1 answer
  • What is the value of **y** where the two lines are equal?
    12·2 answers
  • Find the sum: <br> 1+10+19+28…, n=16
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!