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
lana [24]
3 years ago
13

If a_1=2a 1 ​ =2 and a_n=(a_{n-1})^2-2a n ​ =(a n−1 ​ ) 2 −2 then find the value of a_4a 4 ​ .

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

9514 1404 393

Answer:

  2

Step-by-step explanation:

We assume your recursive formula is ...

  a_1=2\\a_n=a_{n-1}^2-2

Using this to find a4, we get ...

  a_2=a_1^2-2=2^2-2=2\\a_3=a_2^2-2=2^2-2=2\\a_4=a_3^2-2=2^2-2=2\\\\\boxed{a_4=2}

You might be interested in
Which equation represents a line which is perpendicular to the line y=-4/5x+2?
lyudmila [28]

Answer:

D) 4x + 5y = -30 = -4/5

Step-by-step explanation:

A) 5x + 4y = 28 slope = -5/4

b) 4x-5y = -25 slope = 4/5

c) 4y - 5x = -12 slope = 5/4

d) 4x + 5y = -30 slope = -4/5

5 0
2 years ago
Simplify 2⅓+2⅔×1⅛<br>Pls solve it<br>​
ikadub [295]

Answer:

5 1/3

Step-by-step explanation:

2 1/3+(2 2/3) (1 1/8)= 5 1/3

4 0
3 years ago
Method for constructing the circle that inscribed a triangle
AleksAgata [21]

Answer:

Radius = incenter → peprpendicular to one side of the triangle

Step-by-step explanation:

  1. Bisect one of the angles
  2. Bisect another angle
  3. Where those two lines cross is the center of the inscribed circle, called the incenter
  4. Construct a perpendicular from the center point to one side of the triangle
  5. Place compass on the center point, adjust its length to where the perpendicular crosses the triangle, and draw your inscribed circle!
4 0
3 years ago
Elena is feeding her neighbor's dogs each dog gets two thirds cup of dog food and she uses three and one third cups of food how
MrRa [10]

Answer:

Total number of dogs is 5.

Step-by-step explanation:

Cups of food each dog gets=\frac{2}{3}

Here,each dog eats two-third cups of dog food.

Amount of dog food used=\frac{10}{3}

A total of three and one-third cups of food is used up.

Let the number of dogs be x.

To find the number of dogs,divide total dog food used by the amount of dog food eaten by each dog.

Hence,  x  =\frac{\frac{10}{3} }{\frac{2}{3} }

              x  =\frac{10}{2}

               x  =5

5 0
3 years ago
(10,-1) slope 1/2 slope intercept form
lawyer [7]

Answer:

y=1/2x-6

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1)=1/2(x-10)

y+1=1/2x-10/2

y=1/2x-5-1

y=1/2x-6

8 0
3 years ago
Other questions:
  • To calculate theoretical probability, divide the number of ______ outcomes by the total number of outcomes.
    14·2 answers
  • Which of the following functions is graphed below.
    12·1 answer
  • 1. Find equation (both the normal equation and the parametric equation) for the plane (in R3) so that (a) the plane contains the
    9·1 answer
  • (8x^3 - x) - (10x - 5x^2 - 3x^3) <br> Show your work.
    15·2 answers
  • Football practice starts at 5:45 P.M. and lasts for 80 minutes. What time does football practice end?
    15·2 answers
  • Two lighthouses are located 60 miles from one another on a north-south line. If a boat is spotted S 21o E from the northern ligh
    6·1 answer
  • Please help I will give brainliest.
    13·1 answer
  • Find x. Round your answer to the nearest tenth of a degree and show work.
    12·1 answer
  • Find the circumference and area of the circle. Use 3.14 for π. Round to the nearest hundredth if necessary.
    5·2 answers
  • To find the sale price of an item you have to add the original price plus the discount amount
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!