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
gizmo_the_mogwai [7]
3 years ago
9

Write a recursive rule for the sequence.

Mathematics
1 answer:
Vadim26 [7]3 years ago
8 0

Answer:

f(n)=f(n-1)+f(n-2)

f(1)=1x

f(2)=1x

Step-by-step explanation:

This is the fibonacci sequence with each term times x.

Notice, you are adding the previous two terms to get the third term per consecutive triples of the sequence.

That is:

1x+1x=2x

1x+2x=3x

2x+3x=5x

3x+5x=8x

So since we need the two terms before the third per each consecutive triple in the sequence, our recursive definition must include two terms of the sequence. People normally go with the first two.

f(1)=1x since first term of f is 1x

f(2)=1x since second term of f is 1x

Yes, I'm naming the sequence f.

So I said a third term in a consecutive triple of the sequence is equal to the sum of it's two prior terms. Example, f(3)=f(2)+f(1) and f(4)=f(3)+f(2) and so on...

Note, the term before the nth term is the (n-1)th term and the term before the (n-1)th term is the (n-2)th term. Just like before the 15th term you have the (15-1)th term and before that one you have the (15-2)th term. That example simplified means before the 15th term you have the 14th and then the 13th.

So in general f(n)=f(n-1)+f(n-2).

So the full recursive definition is:

f(n)=f(n-1)+f(n-2)

f(1)=1x

f(2)=1x

You might be interested in
2.74 as a mix number
Inga [223]

Answer:

2 74/100

Step-by-step explanation:

6 0
3 years ago
Solve<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%20%2B%204%7D%7B2%7D%20%20%3D%209.5" id="TexFormula1" title=" \frac{3x
ELEN [110]
Answer: 5

Step by step:

(3x+4)/2 = 9.5
3x+4 = 9.5*2
3x+4 = 19
3x = 19 -4
3x = 15
x = 5

7 0
2 years ago
Read 2 more answers
Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class tr
vladimir1956 [14]

Answer:

$400

Step-by-step explanation:

140 ÷ 35% = 400

6 0
2 years ago
Help me with this question plz?
wel
Volume of cylinder = πr²h = π x 4² x 6 = 96π

volume of cone = 1/3πR²H = 1/3π x 8² x 12 = 256π

You can see that volume of cone is more than twice of volume of cylinder. So she is not correct
8 0
3 years ago
During the summer you want to read at least 32 books. You have read 21 books so far this summer . What are the possible nurabers
ioda

Answer:

you need to read 11 or more books to pass your goal

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • If the sum of the legs of a right triangle is 49 inches and the hypotenuse is 41 inches, find the length of the other two sides
    10·1 answer
  • Jim had $8.10 when he went to the store. When he got back, he had $3.49. How much did he spend?
    11·2 answers
  • What is the value of x? <br><br> PLEASE HELP!!!
    10·1 answer
  • 3214325435435345353534
    13·1 answer
  • Mrs. Bautista invested Php2700.00 part at 8% and the rest at 11% .How musch did she invest at each rate if her total annual inco
    13·1 answer
  • An object of mass 600 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity. Assum
    6·1 answer
  • DUDE THIS IS MY LAST QUESTION PLEASE HELP
    9·2 answers
  • 23. The density of mercury is 13g/cm cubed. If there are 4 cm cubed of mercury, what is the mass?
    12·2 answers
  • Find the n. 5/6=15/n.<br> a:n=18<br> b:n=2<br> c:n=3<br> d:n=16
    6·1 answer
  • Monthly budget for her cell phone bill when she spent 120% of her budget and the bill was 60.00 what’s her monthly budget
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!