What is the equation of the line that passes through the point <br> (1,0) and has a slope of 1?

Represent the geometric series using the explicit formula. 3, −6, 12, −24, … f(n) = 3 ⋅ (2)(n−1) f(n) = 3 ⋅ (−2)(n−1) f(n) = f(n

mr Goodwill [35]

Answer:

$f(n)=(-2)(n-1)$

Step-by-step explanation:

Each term of this Geometric Series (3, −6, 12, −24, ...) can also be found through this explicit formula: $f(n)=(-2)(n-1)$ Because the $n^{th}$ term is found by the product of its common ratio "q", times its predecessor n-1. Where n, refers to the order of the term.

So let's test it, suppose we want to find the 4th term. We know the common ratio and the first term. Then we can write f(n) as:

$\\f(n)=3(-2)^{n-1}$

f(4)=f(3)*-2⇒-24=12*-2⇒-24=-24

The explicit formula is ok.

3 0

3 years ago

Find 4 geometric means between -5 and -125.

balandron [24]

The geometric means between -5 and -125 is; 25

<h3>How to find the geometric mean?</h3>

To find the geometric mean between two numbers, we simply find the square root of the product of the two numbers.

For example, geometric mean between A and B is;

G.M = √(A * B)

Thus, geometric mean between -5 and -125 is;

G.M = √(-5 * -125)

G.M = √625

G.M = 25

There could be other geometric means between this like;

G.M = √(-5 * -45) = 15

Or GM = √(-10 * -40) = 20

Read more about geometric mean at; brainly.com/question/17266157

#SPJ1

8 0

1 year ago

Give the domain, range, intercepts, asymptotes, intervals of increasing and decreasing, intervals of positive and negative, symm

klemol [59]

$y = \frac{3}{x^{2} - 4} + 1$

Domain: x² - 4 ≠ 0
+ 4 + 4
x² ≠ 4
√x² ≠ √4
x ≠ ±2
x ≠ -2 and x ≠ 2
(-∞, -2) ∨ (-2, 2) ∨ (2, ∞)

Range: y ≠ 1
(-∞, 1) ∨ (1, ∞)

Intervals: Increasing: (0.25 , ∞)
Decreasing: (-∞, 0.25)

Symmetry: X-axis: Not Symmetric
Y-axis: Not Symmetric
Origin: Not Symmteric

Extrema: Maximum Relative: x = 0
Minimum Relative: Nothing

3 0

2 years ago

Shelly Ann Fraser Pryce ran the 100m in 10.7 seconds. If she runs at a constant pace, how long will it take her to run 1/2 Km?

kvv77 [185]

Answer:53.5 Seconds ;)

3 0

2 years ago

which of the following is equivalent to 3 sqrt 32x^3y^6 / 3 sqrt 2x^9y^2 where x is greater than or equal to 0 and y is greater

Nutka1998 [239]

Answer:

$\frac{\sqrt[3]{16y^4}}{x^2}$