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andre [41]
3 years ago
7

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
Mathematics
2 answers:
Korvikt [17]3 years ago
7 0

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(\frac{2}{3})^b

Since for a geometric sequence explicit formula is given by

T_{n}=a(r)^{n-1}

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

So this is "decay".

Lana71 [14]3 years ago
5 0
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.
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