Bean plants grow rapidly. A bean plant is 16 inches tall. Tomorrow it will be 24 inches tall, the
next day it will be 32 inches tall, and on the next day it will be 40 inches tall. Write a rule to
represent the height of the bean plant as an arithmetic sequence. How tall will the plant be in
12 day
Here are the Questions:
A(n) = 16 + (n – 1)8; 104 inches
A(n) = 16 + (n – 1)8; 116 inches
A(n) = 16n; 192 inches
A(n) = 12n; 144 inches
since they have told you it is an AP, just look at the first two points:
a = 16
d = 24-16 = 8
So, A(n) = 16 + (n-1)*8
I assume you can figure out whether it is A or B.
To write a rule to represent the height of the bean plant as an arithmetic sequence, we can observe the pattern in which it grows.
The plant starts at a height of 16 inches and grows by 8 inches each day. This means that each term in the arithmetic sequence can be calculated by adding 8 to the previous term.
The rule to represent the height of the bean plant as an arithmetic sequence can be written as follows:
Height(n) = 16 + 8 * (n - 1)
Here, "n" represents the number of days after day 1, and "Height(n)" represents the height of the plant on the nth day.
To find out how tall the plant will be in 12 days, we can substitute 12 for "n" in the rule:
Height(12) = 16 + 8 * (12 - 1)
Height(12) = 16 + 8 * 11
Height(12) = 16 + 88
Height(12) = 104 inches
Therefore, the plant will be 104 inches tall on the 12th day.