Suppose the corn size is 10 inches now. SO, according to the problem it grows 3 inches per week. Hence corn will be
10+3=13 in the next week.
13+3=6 in the second week
16+3=19 in the third week and so on.
So, the changes in the plant size is always equal.
Hence, it's an example of linear function.
-1/5 + 1/2 u = -2/3
-6/30 + 15/30 u = -20/30
+6/30 +6/60
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15/30 u = -14/30
(15/30 u = -14/30) ÷ (15/30)
u = -14/15
u = -.933
We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form:
, where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:

Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:

The slope is 1/4 and the y-intercept is 2