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kvv77 [185]
3 years ago
15

, list the first five terms of each sequence, and identify them as arithmetic or geometric.

Mathematics
1 answer:
sveta [45]3 years ago
5 0

Answer: -2, 2, 6, 10, 14

It is an Arithmetic sequence.

Step-by-step explanation:

Given Recursive formula : A(n + 1) = A(n) + 4 ,  for n ≥ 1 and A(1) = -2.

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

A(3)=A(2 + 1) = A(2) + 4=2+4=6

A(4)=A(3 + 1) = A(3) + 4=6+4=10

A(5)=A(4 + 1) = A(4) + 4=10+4=14

Hence, the  five terms of given sequence= -2, 2, 6, 10, 14

Since, there is common difference of 4 in two consecutive terms.

Therefore, it is an Arithmetic sequence.

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Type the integer that makes the following addition sentence true: -5 + _ = -19
brilliants [131]

Answer:

-14

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
Help: The equation is in the screenshot
Svetllana [295]

The graph of the function shows that function f(x) => ∞ as x = -∞ and f(x) =>-∞ as x = ∞. Option c is correct.


<h3>What is a graph?</h3>

The graph is a demonstration of curves that gives the relationship between the x and y-axis.


Here,
The curve of the function in the 2 quadrants is increasing when x tends to -∞ and in the quadrant, the curve f(x) is decreasing to -∞ as x tends to ∞.


Thus, the graph of the function shows that function f(x) => ∞ as x = -∞ and f(x) =>-∞ as x = ∞. Option c is correct.

Learn more about graphs here:

brainly.com/question/16608196

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8 0
2 years ago
An equation parallel and perpendicular to 4x+5y=19
UNO [17]

Answer:

Parallel line:

y=-\frac{4}{5}x+\frac{9}{5}

Perpendicular line:

y=\frac{5}{4}x-\frac{1}{2}

Step-by-step explanation:

we are given equation 4x+5y=19

Firstly, we will solve for y

4x+5y=19

we can change it into y=mx+b form

5y=-4x+19

y=-\frac{4}{5}x+\frac{19}{5}

so,

m=-\frac{4}{5}

Parallel line:

we know that slope of two parallel lines are always same

so,

m'=-\frac{4}{5}

Let's assume parallel line passes through (1,1)

now, we can find equation of line

y-y_1=m'(x-x_1)

we can plug values

y-1=-\frac{4}{5}(x-1)

now, we can solve for y

y=-\frac{4}{5}x+\frac{9}{5}

Perpendicular line:

we know that slope of perpendicular line is -1/m

so, we get slope as

m'=\frac{5}{4}

Let's assume perpendicular line passes through (2,2)

now, we can find equation of line

y-y_1=m'(x-x_1)

we can plug values

y-2=\frac{5}{4}(x-2)

now, we can solve for y

y=\frac{5}{4}x-\frac{1}{2}


4 0
3 years ago
Which one is it , I’m having a hard time I’m a freshman.
IgorC [24]
I believe it should be C
5 0
3 years ago
Read 2 more answers
A rectangle field has an area of 1764 m^2. The width of the field is 13m more than the length. What is the perimeter of the fiel
mr_godi [17]

Answer:

Step-by-step explanation:

hello :

let y the length and  x the  width

A  the area and  P the perimeter

so : A= xy and P  = 2(x+y) ....y > x and x >0  ; y>0

xy = 1764 ...(1)

y = x +13....(2)  put this value in (1) : x (x+13) = 1764

x²+13x -1764 = 0   ...quadratic equation

calculate : Δ = b² -4ac   a =1  and  b =13  and

c = -1764

Δ = (13)² - 4(1)(-1764) = 169 +7056 = 7225=85²

X1 =(-b-√Δ)/2a =(-13-85)/2 < 0 refused  (x  >0)

X2 =(-b+√Δ)/2a =(-13+85)/2  = 72/2 = 36

so : x= 36  put this value in (2) : y = 36+13 = 49

the perimeter is : P  = 2(x+y)

                            P  = 2(36+49) = 170 m

6 0
3 years ago
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