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
Find the value of x.
irina [24]

Step-by-step explanation:

x=102

I think it like this.

4 0
3 years ago
Brainlyyyyyyyy just helppppppppppppppppppppppppppppppppppppppppppp
ANTONII [103]

<u><em>Answer:</em></u>

<u><em>y = 50</em></u>

<u><em>Step-by-step explanation:</em></u>

<u><em>Since 20 is even with 100, all we have to do is multiply both sides by 5.</em></u>

<u><em>(5 × 20%) × y = 10 × 5</em></u>

<u><em>y = 50</em></u>

<u><em>Please give me brainliest :)</em></u>

5 0
2 years ago
Read 2 more answers
Make a table of ordered pairs for the equation.
soldier1979 [14.2K]
X y
-2 -3
-1 -1
0 1
1 3
2 5

i can’t graph it, but i hope this helps
4 0
3 years ago
Hello my name is Sam and I have some homework that is due today, how is g 125 degrees? You will get a guaranteed brainliest if y
VLD [36.1K]
Hi sam, do you want to know the answer? Try using a protractor, you will see the degree is 125, its like a obtuse angle
7 0
2 years ago
A student leaving school walks 2.8 km north and then walks 1.2 km south. What is
vova2212 [387]

Answer: 1.6km

Step-by-step explanation: 2.8km - 1.2km

The student is still north from school.

I hope this answer helped! :)

4 0
3 years ago
Read 2 more answers
Other questions:
  • Of the 480 students at lincoln middle school one third have traveled overseas of these 15% have been to australia how many stude
    12·1 answer
  • Which of the following is the solution to the inequality below -6(4-x)&lt;-4(x+1)
    11·1 answer
  • What is 3 1/3 divided by 2/3
    14·2 answers
  • Please explain and show work. In the function f(x)=cos⁡x, f(x) is multiplied by a factor of 3, x is replaced with 4x and 5 is ad
    12·1 answer
  • Round to the place of
    15·1 answer
  • Maria had 6 feet of ribbon. She will cut the ribbon into pieces that are 2/3 of a foot long. How many pieces of ribbon will Mari
    6·1 answer
  • Find the slope of regular AB, and make sure you reduce the fraction to simpelist form 
    10·1 answer
  • PLEASE HELP WITH THIS, TY
    8·1 answer
  • Three friends map their houses on a coordinate grid. Alex's house is located at point (7, 18). Jimmy's house is at point (-9, 7)
    12·1 answer
  • Could anyone find the answer for this?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!