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
Nitella [24]
2 years ago
12

Using the recurrence relation s(1) = 2 and s(2)=3, s(k) =s(k-1)+2s(k-2)+6, find the fourth term

Mathematics
1 answer:
HACTEHA [7]2 years ago
6 0

Recurrence functions are used to preedict the subsequent value in a sequence. The fourth term of the sequence based on the recurrence relation is 25

<h3>How to find the recurrence relation of a function?</h3>

Given the recurrence relations according to the question

s(1) = 2 and

s(2)=3

s(k) =s(k-1)+2s(k-2)+6

If s(1) = 2, hence;

s(3) =s(3-1)+2s(3-2)+6

s(3) = s2 + 2s1 + 6
s(3) = 3 + 2(2) + 6
s(3) = 13

Determine the fourth term:

s(4) =s(4-1)+2s(4-2)+6

s(4) = s3 + 2s2 + 6
s(4) = 13 + 2(3) + 6
s(4) = 25

Hence the fourth term of the sequence based on the recurrence relation is 25

Learn more on recurrence relation here: brainly.com/question/10636530

You might be interested in
Ally sold 18 boxes of girl scout cookies. This was 40% of the number of boxes that Kayla sold. How many boxes did Kayla sell?
S_A_V [24]

Answer:

Kayla sold 90 boxes of cookies.

Step-by-step explanation:

let's have X be the number of boxes Kayla sold.

x⇒100%

18⇒20%

Find x,

x=100/20 × 18

x=90

6 0
3 years ago
Marion Lamar establish a tutoring service at a local mall they tutor college students in math and English they charge $40 per ho
Readme [11.4K]

Answer: $3300 profit

Step-by-step explanation

P = 40(h) - expenses

h = 200

Expenses = 4000,325,375

P = 40(200) - (4000+325+375)

P = 8000 - 4700

P = 3300

4 0
3 years ago
Becky is 18 and would like to buy a house when she is 36. What is the discount factor for today's prices if the housing values i
statuscvo [17]
<span>you need to find the amount of years between now and when she wants to buy a home. 36-18= 18. then you take 18 and multiply is by %6. 18x%6 or 18x.06 =108% or 1.08. 

The discount prices for today's housing values compared to 18 years from now with a 6% increase per year would be 108% discount. </span>
3 0
3 years ago
Jay needs at least 5,000 points to be nominated for MVP she currently has 3800. Write an inequality to find P the total amount o
ddd [48]

Answer:

1200

Step-by-step explanation

3800+p=5000

5000-3800=1200

7 0
3 years ago
The perimeter of a kite is 50 mm. The length of one of its sides is 1 mm more than twice the length of another. Find the length
rosijanka [135]

Answer:

The length of the longest side is 13mm

Step-by-step explanation:

Represent the two sides with a and b, where a is the longest

Perimeter = 50

a=b + 1

Required

Determine the length of the longest side

Perimeter of a kite is calculated as thus:

Perimeter = 2(a + b)

Make b the subject in a=b + 1

b = a -1

Substitute a - 1 for b and 50 for Perimeter in Perimeter = 2(a + b)

50 = 2(a + a - 1)

Divide through by 2

25 = a + a - 1

25 = 2a- 1

Add 1 to both sides

25 + 1 = 2a - 1 +1

25 + 1 = 2a

26 = 2a

Solve for a

a = 26/2

a = 13

<em>Hence, the length of the longest side is 13mm</em>

4 0
2 years ago
Other questions:
  • How many groups is ther if you have to find how many groups there are if there is 21 girls and 14 boys
    5·1 answer
  • If 1 hour is 60 minutes then what will 5 hours equal
    6·2 answers
  • Last month, a company had receipts totaling $3,700. The company had overhead costs of $444. What is the rate of overhead? A. 11%
    8·1 answer
  • Luis set up an A-frame ladder so that the angle formed between each side of the ladder and the ground is 125 degrees. What is th
    15·1 answer
  • Estimate.Then find the product 1,925 ×7<br><br>Please show work
    5·1 answer
  • I spent more<br> than $10. Each<br> apple cost $.50<br> and there was a<br> $2 bag charge.
    9·1 answer
  • If you are able to save, $150 dollars per month-how many months will it take you to
    15·2 answers
  • Maricella solves for x in the equation 4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1. She begins by adding –4 + 4 o
    14·1 answer
  • What is the value of x?
    12·1 answer
  • Functions and Transformations
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!