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
Neko [114]
3 years ago
6

Please help! I am supposed to write a recursive and an explicit function for the geometric sequence but this one is really frust

rating me. Thank you!

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Step-by-step explanation:

Initially, there's only 1 letter.

Tania sends the letter to 4 friends.

Each friend sends a letter to 4 more friends (4 × 4 = 16).

Each of those friends sends to 4 more friends (16 × 4 = 64).

The pattern is 1, 4, 16, 64, etc.

This is a geometric sequence.  The first term is 1 and each term is 4 times the previous term.

a₁ = 1

aₙ = 4 aₙ₋₁

The explicit formula is:

aₙ = 1 (4)ⁿ⁻¹

You might be interested in
The sum of two numbers is 53 and the difference is 27. What are the numbers?
ikadub [295]

Answer:

The numbers are 39 and 14.

Step-by-step explanation:

Equation 1, sum of the numbers:

 

x  +  y   =  53

 

Equation 2, difference of the numbers:

 

x  -  y  = 25

 

System of equations:

 

x  +  y  =  53

x  -  y   =  25

----------------

2x = 78

 

x = 39

 

Solve for y:

 

39  +  y  = 53

 

y  =  14

 

The numbers are 39 and 14.

8 0
3 years ago
Rotate this figure 270 degrees clockwise
Lemur [1.5K]

Answer:

it's the third answer

Step-by-step explanation:

360 degrees is a full circle so you subtract the 90 degrees from it and get 270. The only turn it would need to be a full 360 is 90 degrees. hope this helps

6 0
2 years ago
Read 2 more answers
I need help with a math problem it says to subtract 2y - 3 from 5y-10​
Alexeev081 [22]
The answer is 3y-7.hope this helps

7 0
3 years ago
Find the measure of an angle whose measure is 60 degrees more than the measure of its complement
Natasha2012 [34]
Two complementary angles add up to 90 degrees. Hence, the problem can be set up and solved. Let x represents one angle and 5x represent the angle that is 5 times greater:x + 5x = 90 (simplify)6x = 90 (next divide both sides by 6 to find the value of x [the smaller angle])x = 15 (this is the smaller angle, next subtract 15 from 90 to find the greater angle)90 - 15 = 75 (this is the greater angle which is 5 times that of its complement) <span>90 take away 73...</span>
6 0
3 years ago
Read 2 more answers
Given the definitions of f(x) and g(x) below, find the value of g(f(-1)).
mrs_skeptik [129]

Answer:

-5

Step-by-step explanation:

At first,

f(-1) = 3 x (-1)² + 5 x (-1) -7

= 3 - 5 - 7

= -9

g(f(-1)) = g(-9)

= 2 x (-9) + 13

= -18 + 13

= -5

6 0
3 years ago
Other questions:
  • Find the value of x in the solution to the system of equations shown.
    5·1 answer
  • Which of the following is the closest to the total surface area of the this box?
    9·2 answers
  • Giving free brainliest to first correct response, <br><br> what is 2+2+5+3+6+4+6+2+5+78+2+1?
    10·2 answers
  • Which type of dog food will the trainer run out of first
    7·1 answer
  • Use elimination to find the solution to the system of equations. 4x+2y=34 5x-6y=34
    12·2 answers
  • Which equation represents the graphed function?
    13·2 answers
  • What percentage of $15 is 75 cent​
    14·2 answers
  • Find the slope of the following graph<br><br> a) 1/2<br> b) 2 <br> c) -2<br> d) -1/2
    15·1 answer
  • Caden owns 9 white t-shirts and 9 t-shirts in other colors ? If Caden randomly selects a t-shirt to wear, what is the probabilit
    8·2 answers
  • How do I use the intermediate value theorem to prove every polynomial of odd degree has at least one real root?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!