A basketball player dropped a ball from a height of 5.5 feet. The first bounce reached a height of approximately 16 inches. The
1 answer:
You might be interested in
Check the forward differences:
-1 - 1 = -2
-7 - (-1) = -6
-25 - (-7) = -18
Notice how the differences appear to follow a geometric progression with common ratio 3. So if denotes the
th term in the given sequence, we seem to have
so that the general pattern for would be
Then the sequence is given recursively by
The first 10 terms in the sequence would be
1, -1, -7, -25, -79, -241, -727, -2185, -6559, -19681