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in his physics class, Mario discovered the height, h, in feet of a bouncing basketball after b bounces is given by the formula: h=12(2/3)b is this growth or decay

Respuesta :

irspow
This is a geometric sequence which represent exponential decay.  For any sequence, if r^2, the common ratio squared, is less than one, it is exponential decay, or:

f=ir^t

If r^2<1, it is exponential decay.  In this case r=2/3, so it is exponential decay.

Answer:

So this is "decay".

Step-by-step explanation:

In a physics class Mario discovered the height h of bouncing basketball after b bounces is given by the formula

h = 12[tex](\frac{2}{3})^b[/tex]

Since for a geometric sequence explicit formula is given by

[tex]T_{n}=a(r)^{n-1}[/tex]

Where r is in the fraction then the sequence will be convergent or decreasing.

So this is "decay".

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