A factory produces cylindrical cans, and each day it slightly increases the size of the label printed on the cans to match a design upgrade. On the first day, the label height is 1.2 cm, and each day, the height increases by 0.3 cm to improve visibility. What will be the height of the label on the 10th day?
Show answer & explanation
Correct answer: C
Explanation
Given:
Height on the first day = 1.2 cm
Daily growth = 0.3 cm
Number of days = 10
By the formula:
aₙ = a + (n − 1)d
a = 1.2
d = 0.3
n = 10
a₁₀ = 1.2 + (10 − 1) × 0.3
= 1.2 + 9 × 0.3
= 1.2 + 2.7
= 3.9
Height of the label on the tenth day = 3.9 cm