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
sladkih [1.3K]
3 years ago
6

Complete the recursive formula of the arithmetic sequence -15, -11, -7, -3,...−15,−11,−7,−3,...minus, 15, comma, minus, 11, comm

a, minus, 7, comma, minus, 3, comma, point, point, point. c(1)=c(1)=c, left parenthesis, 1, right parenthesis, equals c(n)=c(n-1)+c(n)=c(n−1)+c, left parenthesis, n, right parenthesis, equals, c, left parenthesis, n, minus, 1, right parenthesis, plus
Mathematics
1 answer:
Oduvanchick [21]3 years ago
3 0

Answer:

c(1) = -15

c(n) = c(n - 1) + 4

Step-by-step explanation:

Given arithmetic sequence is,

-15, -11, -7, -3...........

Common difference between each successive and previous term is,

d = -11 - (-15)

 = -11 + 15

 = 4

Since recursive formula of the arithmetic sequence is represented by,

a₁ = First term of the sequence

a(n) = a(n - 1) + d

where a(n) is the nth term and a(n-1) is the previous term of the nth term.

Form the given sequence,

c₁ = -15

c(n) = c(n - 1) + 4

Step-by-step explanation:

You might be interested in
What is the axis of symmetry for y=x2-4x+7
lianna [129]

Answer:

2

Step-by-step explanation:

y=x22-4x=7

3 0
3 years ago
Read 2 more answers
Solve for x 1.x=1 and 2over 3​
kogti [31]

Answer:

<h3>x = 1 and 2/3 or x = 1 2/3</h3><h3 />

Step-by-step explanation:

Simplify both sides of equation

1 * x = 1 2/3

1 * x is 1x which is the same as x because there is one x

then for the improper fraction which is 1 2/3

to simplify improper fractions we times the whole number by the denominator

so 1 * 3 then add the numerator 2 and the denominator stays the same so we get x = 5/3

now we have x = 5/3 this is not correct because the numerator is bigger than the denominator so we just subtract the denominator from the numerator and how many times 3 goes into 5 (in this case 1) becomes the new whole number.

therefore we get x = 1 2/3

6 0
3 years ago
Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an answer does not exist, enter
Lapatulllka [165]

Answer:

Relative minimum: \left(-\frac{5}{2}, -\frac{33}{4}\right), Relative maximum: DNE

Step-by-step explanation:

First, we obtain the First and Second Derivatives of the polynomic function:

First Derivative

f'(x) = 2\cdot x + 5 (1)

Second Derivative

f''(x) = 2 (2)

Now, we proceed with the First Derivative Test on (1):

2\cdot x + 5 = 0

x = -\frac{5}{2}

The critical point is -\frac{5}{2}.

As the second derivative is a constant function, we know that critical point leads to a minimum by Second Derivative Test, since f\left(-\frac{5}{2}\right) > 0.

Lastly, we find the remaining component associated with the critical point by direct evaluation of the function:

f\left(-\frac{5}{2} \right) = \left(-\frac{5}{2} \right)^{2} + 5\cdot \left(-\frac{5}{2} \right) - 2

f\left(-\frac{5}{2} \right) = -\frac{33}{4}

There are relative maxima.

6 0
3 years ago
What is the volume of 1/4 of a sphere
Alja [10]

Answer: You need to find the radius...

Step-by-step explanation:

7 0
4 years ago
=
sergij07 [2.7K]

Answer:

I. L = 17 cm.

II. W = 11 cm.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangle = 56cm

Translating the word problem into an algebraic expression, we have;

L = W + 6 .....equation 1

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

56 = 2(L + W) ......equation 2

Substituting eqn 1 into eqn 2, we have;

56 = 2(W + 6 + W)

56 = 2(6 + 2W)

Opening the bracket, we have;

56 = 12 + 4W

4W = 56 - 12

4W = 44

W = 44/4

W = 11 cm

Next, we would find the length of the rectangle;

From eqn 1;

L = W + 6

L = 11 + 6

L = 17 cm

7 0
3 years ago
Other questions:
  • archie earns 4$ each week for doing his chores.how much money will archie earn in 2 months if there are 4 weeks in each month?
    15·1 answer
  • 150 students in a tenth grade high school class take a survey about which video game consoles they own 60 students answer that o
    15·1 answer
  • What is the reference angle for -144 degrees
    15·1 answer
  • A recipe for fruit salad cost for three times as many apples as oranges what statement is true
    10·1 answer
  • the ratio of men to women at a class is 6 to 5 how many women students are there if there are 3600 men
    10·1 answer
  • How many pounds go into 2. 5 tons
    11·2 answers
  • What is the maximum of 18.7
    12·1 answer
  • A soccer team played 160 games and won 65 percent of them how many games did it win?
    5·2 answers
  • If the radius of a circle is 10cm, what will be the area of the circle?
    9·2 answers
  • Type the missing number in this sequence: 3, 9, 27, 81, 243, ......​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!