The table shows the height of a tree as it grows. What equation in slope-intercept form gives the tree's height at any time?
2 answers:
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Answer:
The first four terms of the sequence are-6, -2, 2 and 6
Step-by-step explanation:
The given sequence is
In order to find the first four term of the sequence we put n =0, 1, 2 and 3.
For n =0
For n =1
For n =2
For n =3
Therefore, the first four terms of the sequence are
-6, -2, 2 and 6
Given the recursive formula, each terms is five time the previous one.
This means that:
is 5 times
, which means
- in turn,
, so we have
. This means that
- Finally,
So, substituting this back gives
In general, since you have , each time you compute a new term you multiply by a factor of 5, so if
, you have