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
umka21 [38]
3 years ago
9

Given a geometric sequence with a1 = 6 and r= 2/3 write an explicit formula for an the nth term of the sequence.​

Mathematics
1 answer:
fomenos3 years ago
6 0

the explicit formula for aₙ the nth term of the sequence will be:a_{n}=6\times (\frac{2}{3})^{n-1}\\

Step-by-step explanation:

The explicit formula of geometric sequence is of the form:

a_{n}=a_{1}r^{n-1}

where a₁ is the first term and r is the common ratio.

We are given:

a₁ = 6

r = 2/3

Putting values in the formula:

a_{n}=a_{1}r^{r-1}\\a_{n}=6\times (\frac{2}{3})^{n-1}\\

So, the explicit formula for aₙ the nth term of the sequence will be: a_{n}=6\times (\frac{2}{3})^{n-1}\\

Keywords: Explicit formula for geometric sequence

Learn more about Explicit formula for geometric sequence at:

  • brainly.com/question/1522572
  • brainly.com/question/3280369
  • brainly.com/question/2491745

#learnwithBrainly

You might be interested in
6th term in numerical pattern that begins with 2 and then adds 5
inysia [295]

Answer:

27

Step-by-step explanation:

2, 7, 12, 17, 22, 27

7 0
3 years ago
Two cards are drawn with replacement, one after the other, and the outcomes recorded. What is the probability that at least one
babymother [125]

Answer:

The probability is 0.231

Step-by-step explanation:

In this question, we are tasked with calculating the probability that out of two cards drawn with replacement from a pack of cards , at least one of the two is a face card.

In a standard pack of cards, there are 52 cards.

Now let’s calculate the number of face cards we have.

There are 12 face cards in a pack of cards. There are 4 of each of Jack, Queen or King

The probability of drawing a face card is 12/52 = 3/13

Now, we want to calculate the probability of at least one of the cards drawn are face cards.

Mathematically, what we are needing to calculate is

Probability of drawing a single face card or probability of the two being a face card

Now let’s calculate.

The probability of the first card drawn being a face card is 3/13. The probability of the second card not being a face card will be 1-3/13 = 10/13

The joint probability under this first set of condition will be 3/13 * 10/13 = 30/169

Now, for the second condition, here we are considering that both cards drawn are face cards. What we have is 3/13 * 3/13 = 9/169

Now in probabilities, whenever we are having the statement or, we add the probabilities together

Thus, the probability here would be 30/169 + 9/169 = 39/169 = 3/13

In decimal this will be 0.231

8 0
3 years ago
7 cm and the length of the larger square is 12 cm
Katyanochek1 [597]
The size ot the "larger square" is 5cm
8 0
3 years ago
Read 2 more answers
Arrange the following fraction in ascending order 4/12 , 5/6 , 2/3 5/6
ratelena [41]

Answer:

4/12  2/3 5/6 5/6

Step-by-step explanation:

7 0
2 years ago
Need help on a systems of equations word problem
lapo4ka [179]

Answer:

brazil: 12.8 portugal: 14.769230769230769 (you need to round it)  

Step-by-step explanation:

just divide.

8 0
2 years ago
Other questions:
  • Bob and James are finishing the roof of a house. Working alone, Bob can shingle the roof in 14 hours. James can shingle the same
    8·1 answer
  • If 5.7 moles of zinc metal react with 8.9 moles of silver nitrate, how many moles of silver metal can be formed, and how many mo
    12·1 answer
  • 5.<br> How would you simplify the fraction 4/28?<br> 0<br> 0<br> 0<br> 0
    15·2 answers
  • A cylindrical water tank has a diameter of 60 feet and a water level of 10 feet. If the water level increases by 2 inches, how m
    5·1 answer
  • Does anyone know the formula for finding the area of a circles sector
    10·1 answer
  • There are 1,375 souvenir paperweights that need to be packed in boxes. Each box will hold 16 paperweights. How many boxes will b
    10·1 answer
  • Please help i’ll give brainliest
    12·2 answers
  • 5+5+5+5+5+5+5+5+5+5+5+5
    7·2 answers
  • Tickets to a hockey game cost $45. You and 3 of your friends decide to go together. how much will your tickets cost all together
    10·2 answers
  • Find the H.C.F,a square -bsquare and a+b whole square
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!