The sequence described is 130, 143, 156, 169, ...
To write the general formula/rule of the arithmetic sequence described above, we will use the the general term of arithmetic progressions formula:

Where,
- a is the first term,
- d is the common difference (difference in 2 terms)
- n is the index of the term
Plugging in 130 as a and
as d, we get,

We can use this model to write our own rule:

Where,
- H is the height of the bamboo plant, in inches
- x is the day number, starting from x=1 as DAY 1
To find how tall the plant will be on Day 13, we plug in 13 for x in the formula and get,
inches.
ANSWER:
<u>Rule:</u>
(H is height, in inches, and x is the Day Number)
13 days later, height of plant will be 286 inches.