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MakcuM [25]
3 years ago
12

Write the explicit formula for the geometric sequence.

Mathematics
1 answer:
netineya [11]3 years ago
8 0
We are given the series of <span>a1 = -5 a2 = 20 a3 = -80. In this case, we can see that this is a geometric sequence with a geometric ratio equal to 20/-5 = -80/ 20 or equal to 4. Hence, r is equal to 4, a1 is equal to -5. 

The geometric sequence formula is an = a1*r^(n-1) = -5 * (-4)^ (n-1) where n is an integer. Answer is B.</span>
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Can somebody match these for me .
Harlamova29_29 [7]
From left to right - (-2,6) (4,1) (-2,5) top (1,-3) bottom (-4,-1) (2,-5)
8 0
3 years ago
For A (1, –1), B (–1, 3), and C (4, –1), find a possible location of a fourth point, D, so that a parallelogram is formed using
katrin [286]

The possible coordinates for the vertex D of the parallelogram could be (-4, 3)

It is given that A(1, –1), B (–1, 3), and C (4, –1) are the three vertices of the parallelogram.

Let us assume that the vertices are in the order A, C, B, and D where the coordinates of D are (a, b).

In this scenario, if we join AB and CD, they will become the diagonals of the parallelogram ABCD.

According to the properties of a parallelogram, diagonals bisect each other.

Hence, mid-point of AB = mid-point of CD

Now, according to the mid-point theorem, if mid-point of AB is given as (x,y), then,

x = (x₁ + x₂)/2 and y = (y₁ + y₂)/2

Here, for AC,

x₁ = 1, y₁ = -1

x₂ = -1, y₂ = 3

Then, x = ( 1 - 1)/2 and y = (-1 + 3)/2

(x, y) ≡ (0, 1)  ............. (1)

Since (x, y) is also the mid-point of CD, we also have,

x₁ = 4, y₁ = -1

x₂ = a, y₂ = b

Then, x = (4 + a)/2 and y = (-1 + b)/2

(x, y) ≡ ((4 + a)/2, (-1 + b)/2) ................... (2)

From (1) and (2),

(4+a)/2 = 0 and (-1+b)/2 = 1

4+a = 0 and (-1+b) = 2

a = -4 and b = 3

Hence, the fourth vertex D of the parallelogram can be possibly located at (-4, 3)

Learn more about a parallelogram here:

brainly.com/question/1563728

#SPJ1

8 0
1 year ago
Line ET is tangent to circle A at point T and the measure of angle TNG is 35.
STALIN [3.7K]

ET is tangent to circle A so ET is perpendicular to AT

So <ATE = 90°

Given <TNG = 35°

<NET = <ATE - <TNG

= 90° - 35°

= 55°

Answer is 55°

8 0
3 years ago
I really need help ‼️
Sloan [31]

11

7

and 19

Hope this helps ya'll

5 0
2 years ago
Read 2 more answers
What is the factored form of x2x-2?
Sergeeva-Olga [200]

Answer:

2(x-1)(x+1)

Step-by-step explanation:

x2x-2

=2(x^2-1)

=2(x-1)(x+1)

6 0
3 years ago
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