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
Pie
3 years ago
5

Find the first four terms of a sequence using the recursive definition. Please help

Mathematics
1 answer:
Ymorist [56]3 years ago
7 0

Answer:

2, 5, 9, 19

Step-by-step explanation:

Using the recursive formula f(n) = 2f(n - 2) + f(n - 1)

with f(1) = 2 and f(2) = 5

f(3) = 2f(3 - 2) + f(3 - 1)

     = 2f(1) + f(2) = (2 × 2) + 5 = 4 + 5 = 9

f(4) = 2f(4 - 2) + f(4 - 1)

      = 2f(2) + f(3) = (2 × 5) + 9 = 10 + 9 = 19

You might be interested in
How do i solve 3x² - 8x + 2 = 0 using quadratic formula?
DENIUS [597]
3x^2 - 8x + 2 = 0\\ \\a=3 , \ \ b=-8 , \ \ c=2 \\ \\x_{1}=\frac{-b-\sqrt{b^2-4ac}}{2a} =\frac{8-\sqrt{ (-8)^2-4 \cdot 3\cdot 2}}{2 \cdot 3} =\frac{8-\sqrt{ 64-24 }}{6} =\\ \\ =\frac{8-\sqrt{40 }}{6} = \frac{ 8-\sqrt{4\cdot 10 } }{6} = \frac{ 8-2\sqrt{ 10 }}{6} = \frac{2 (4-\sqrt{ 10 })}{6} = \frac{ 4-\sqrt{ 10 } }{3}

x_{2}=\frac{-b+\sqrt{b^2-4ac}}{2a} =\frac{8+\sqrt{ (-8)^2-4 \cdot 3\cdot 2}}{2 \cdot 3} = \frac{ 4+\sqrt{ 10 } }{3}



7 0
2 years ago
Read 2 more answers
Simplify the following expression (w^8)8
Crank

Answer:

w^64

Step-by-step explanation:

(w^8)^8

both of the powers will be multiplied; hence

w^8*8

w^64

7 0
3 years ago
Which of the following are solutions to the equation below? check all that apply x^2+4x-9=x+1
Aleks04 [339]
The answer is C and D only
6 0
3 years ago
Can this be simplified any further?<br>15x^2+-27x
maria [59]
Yes; if you look at both terms, they both have a common factor of 3x, therefore, this expression can be simplified as 3x(5x-9).
3 0
2 years ago
Let me know if anyone can answer this for me thank you.
Vladimir [108]
Let's calculate the slope of the A(3,1.5) and B(5, 2.5)

The formula of the slope m =(y₂-y₁)/(x₂-x₁)

m = (2.5 - 1.5)/(5 - 3)

m = (1)/(2) = 0.5
Aaron rate for mowing lawns is 0.5 Acre/Hour

8 0
3 years ago
Other questions:
  • Tonya runs 8 kilometres in 60 minutes. At a rate how long would it take her to run 2 kilometers
    7·2 answers
  • Solve the following for x. 3(x-2)-6x=4(x-5)
    12·2 answers
  • The total cost of filling your car with gas varies directly with the number of gallons of gasoline you are purchasing. If a gall
    12·2 answers
  • Week 5 Test Taking skills, Page 2
    6·1 answer
  • 4) On Monday Elaine ran 5 miles and 3 laps around a trail. On Tuesday she ran 6 miles and 2 laps around a trail. She ran the sam
    6·1 answer
  • Please help please help please help please help
    5·2 answers
  • Which correctly compares 13 and 13.0? A) 13.0 &gt; 13 B) 13 &lt; 13.0 C) 13.0 = 13 D) 13 &gt; 13.0
    14·1 answer
  • What is the value of h?<br> h = 20<br> h = 35<br> h= 55<br> h = 70
    6·1 answer
  • (Please someone help me!) (No links!)<br> Box 1<br> Box 2<br> Box 3<br> Box 4<br> Box 5
    15·1 answer
  • Now Ann is x years old and her sister is eight years younger than her. After five years , Anne's age is twice the age of her sis
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!