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) = 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

1 answer

The correct option is: A(n) = 12 + (n – 1)11; 166 millimeters

This rule corresponds to an arithmetic sequence where the common difference is 11 (since the height is increasing by 11 millimeters each day) and the initial term is 12 (the starting height of the blade of grass).

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

A(15) = 12 + (15 – 1)11 = 12 + 14 * 11 = 166 millimeters