Around December 21st in the northern hemisphere tell me if im wrong rate brainliest please
Check the forward differences of the sequence.
If
, then let
be the sequence of first-order differences of
. That is, for n ≥ 1,

so that
.
Let
be the sequence of differences of
,

and we see that this is a constant sequence,
. In other words,
is an arithmetic sequence with common difference between terms of 2. That is,

and we can solve for
in terms of
:



and so on down to

We solve for
in the same way.

Then



and so on down to


Answer:
12
Step-by-step explanation:
3x+2y=12
2y=-3x+12
y=-3/2+12
Honestly you dont have to do any of this work but i did it anyways, The y coordinate is always at the end of the point intercept form (y=mx+b form)
The function modelled by the height (x) of the tree is as follows:
y - 180 = (368 - 180)/(7 - 3) (x - 3)
y - 180 = 47(x - 3) = 47x - 141
y = 47x - 141 + 180 = 47x + 39
Therefore, after 10 years, the tree will be 47(10) + 39 = 470 + 39 = 509 cm tall

m is the slope
b is the y-intercept
so that means that the y-intercept of

is
