Respuesta :
Answer:
The correct option is;
f(x) = 64(three-fourths)Superscript x minus 1
Step-by-step explanation:
The first peak height that the bouncing toy reaches = 64 inches
The second peak height that the bouncing toy reaches = 48 inches
The third peak height that the bouncing toy reaches = 36 inches
Therefore, given that the sequence has a common ratio, r = 48/64 = 36/48 = 3/4
The first term of the sequence, a = The first peak height reached = 64
The xth term of the geometric sequence with general form, xth term = ar⁽ˣ⁻¹⁾
The xth term of the geometric sequence, f(x), is therefore, given as follows;
[tex]f(x) = 64 \times \left(\dfrac{3}{4} \right) ^{(x - 1)}[/tex]
The correct option is;
f(x) = 64(three-fourths)Superscript x minus 1
Step-by-step explanation:
The first peak height that the bouncing toy reaches = 64 inches
The second peak height that the bouncing toy reaches = 48 inches
The third peak height that the bouncing toy reaches = 36 inches
Therefore, given that the sequence has a common ratio, r = 48/64 = 36/48 = 3/4
The first term of the sequence, a = The first peak height reached = 64
The xth term of the geometric sequence with general form, xth term = ar⁽ˣ⁻¹⁾
The xth term of the geometric sequence, f(x), is therefore the correct answer is C
