The correct answer is A(n) = 12 + (n – 1)11; 166 millimeters.
To find the rule for the arithmetic sequence, we observe that each day, the height of the blade of grass increases by 11 millimeters. We start with the initial height of 12 millimeters (A(1) = 12) and add (n – 1)11 to represent the growth over n days.
To find the height of the blade of grass in 15 days, we substitute n = 15 into the formula:
A(15) = 12 + (15 – 1)11 = 12 + 14*11 = 12 + 154 = 166 millimeters.
So, the blade of grass will be 166 millimeters tall in 15 days.
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?
1 answer