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3 years ago

, 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:

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3 years ago

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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.

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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 ∞.

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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

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

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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

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3 years ago

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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

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3 years ago