Grass seeds grow rapidly. A grass seed has grown to a 12 millimeter tall blade of grass. Tomorrow it will be 23 millimeters tall, the next day it will be 34 millimeters tall, and on the next day it will be 45 millimeters tall. Write a rule to represent the height of the blade of grass as an arithmetic sequence. How tall will the blade of grass be in 15 days?
(1 point)
Responses
A(n) = 16 + (n – 1)11; 194 millimeters
A(n) = 16 + ( n – 1)11; 194 millimeters
A(n) = 12 + (n – 1)11; 166 millimeters
A(n) = 12 + ( n – 1)11; 166 millimeters
A(n) = 13n; 195 millimeters
A(n) = 13 n ; 195 millimeters
A(n) = 12n; 180 millimeters
A(n) = 12 n ; 180 millimeters
The correct rule to represent the height of the blade of grass as an arithmetic sequence is A(n) = 12 + (n - 1)11.
To find the height of the blade of grass in 15 days, plug in n = 15 into the formula:
A(15) = 12 + (15 - 1)11
A(15) = 12 + 14 * 11
A(15) = 12 + 154
A(15) = 166 millimeters
Therefore, the blade of grass will be 166 millimeters tall in 15 days.