Grass seeds grow rapidly. A grass seed has grown to a 12 millimeter tall blade of grass. Tomorrow it will be 23 millimeters tall, and on the next day it will be 45 meters tall. write a rule to represent the height of the blade of grass as an arithmetic sequence. how tall will the blade of grass as an arithmetic sequence. how tall will the blade of grass be in 15 days?

Question

Grass seeds grow rapidly. A grass seed has grown to a 12 millimeter tall blade of grass. Tomorrow it will be 23 millimeters tall, and on the next day it will be 45 meters tall. write a rule to represent the height of the blade of grass as an arithmetic sequence. how tall will the blade of grass as an arithmetic sequence. how tall will the blade of grass be in 15 days?

Answer 1

Let's assume that the initial height of the blade of grass is 12 millimeters (t=0). After that, the height increases by 11 millimeters each day.

The arithmetic sequence can be represented by the formula: height = 12 + (n-1) * 11

To find the height of the blade of grass in 15 days (t=15), we substitute n=15 into the formula:

height = 12 + (15-1) * 11
height = 12 + 14 * 11
height = 12 + 154
height = 166 millimeters (or 16.6 centimeters)