Question #7
Bamboo plants grow very quicklyA bamboo shoot has grown to a height of 36 inches Tomorrow it will be 60 inches tall, the next day it will be 84 Inches tall, and on the next day it will be 132 inches tall.
Part A) Which rule represents the height of the bamboo shoot as an arithmetic sequence?
A(n) = 36 + (n - 1) * 24
A(n) = 24 + (n - 1) * 36
A(n) = 36n
A(n) = 36 + (n + 1) * 24
A(n) = 24 + (n + 1) * 36
A(n) = 24n
A(n) = 84 + (n - 1) * 24
A(n) = 36n + 24
A(n) = 24n + 36
How tall with the bamboo shoot be in 15 days
To find out how tall the bamboo shoot will be in 15 days, we can use the arithmetic sequence rule that is representing its height. From the given options, we can determine that the rule representing the height of the bamboo shoot as an arithmetic sequence is:
A(n) = 36 + (n - 1) * 24
Here, A(n) represents the height of the bamboo shoot after n days.
To find the height after 15 days, we substitute n = 15 into the formula:
A(15) = 36 + (15 - 1) * 24
A(15) = 36 + (14) * 24
A(15) = 36 + 336
A(15) = 372
Therefore, the bamboo shoot will be 372 inches tall after 15 days.