Which of the following graphs could be a representation of a geometric sequence? Check all that apply
2 answers:
Answer:
Step-by-step explanation:
The formula for a geometric series is aₙ = a₁rⁿ⁻¹.
This is analogous to the exponential series y = a₀rⁿ.
The difference it that, in a geometric series, n must be positive.
Thus, the graph of a geometric series starts somewhere on the y-axis and either increases exponentially or decreases asymptotically to the x axis.
In Graph A , the successive values of y are 5/2⁰, 5/2¹, 5/2² and 5/2³. This is an example of exponential decay.
In Graph B, the successive values of y are 3¹, 3² and 3³. This is an example of exponential growth.
In Graph C, the successive values of y are 2¹, 2², 2³, and 2⁴, another example of exponential growth.
In Graph D, the successive values of y are 1, 2.5, 4, 5.5. and 7. There is a constant difference of 1,5, so this represents an arithmetic series.
could represent a geometric series.
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Answer:
No
Step-by-step explanation:
Apply Pythagorean theorem: a2 + b2 = c2
The sum of the squares of the legs of a right triangle equals the square of its hypotenuse.
I hope this answer will help you. Have a nice day !
Answer:
El perímetro de la región impresa es 72 cm y su área es 288 cm².
Step-by-step explanation:
1. Tenemos el perímetro de la hoja de papel:
P₁ = 96 cm = 2l₁ + 2a₁ (1)
Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):
(2)
(3)
El perímetro del rectángulo interno es:
(4)
Introduciendo la ecuación (2) y (3) en (4):
Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.
2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:
(5)
Introduciendo (5) en (4):
Entonces el área es:
Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².
Espero que te sea de utilidad!