New grass seeds grow rapidly. A grass seed has grown to 12 millimeters tall. Tomorrow it willbe 23 millimeters tall, the next day it will be 34 millimeters tall, and on the next day it will be45 millimeters tall. Write a rule to represent the height of the bean plant as an arithmeticsequence. How tall will the plant be in 15 days?A(n) = 16 + (n – 1)11; 194 millimetersA(n) = 12 + (n – 1)11; 166 millimetersA(n) = 13n; 195 millimetersA(n) = 12n; 180 millimeters

Answer:The correct answer is;A(n) = 12 + (n-1)11; 166 millimeters Step-by-step explanation:Here, we want to write a rule representing the growth From the question, we can see that the rate of growth is ;34-23 = 23-12 = 11This means it grows at a rate of 11 mm per day So on the 15th day, its height will be;We can have an arithmetic progression here, with 12 as the first term and 11 as the common difference The nth term An can be represented as;An = a + (n-1)dwhere a = 12 mm , n = 15 and d = 11 mmThus, we have An = 12 + (15-1)11 An = 12 + 154An = 166 mm