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)
• A(n) = 16 + (n - 1)11; 194 millimeters
• A(n) = 12 + (n - 1)11: 166 millimeters
• A(n) = 13n; 195 millimeters
• A(n) = 12n: 180 millimeters

1 answer

A(n) = 12 + (n - 1)11

To find out how tall the blade of grass will be in 15 days, plug in n = 15:

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.

Correct answer: A(n) = 12 + (n - 1)11; 166 millimeters