Answer: the person will wear it for 7.5 hours on the 10th day.
Step-by-step explanation:
The person wears them for 3 hours on the 1st day and for 1/2 hour longer on each succeeding day. This means that the number of hours is increasing in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 3 hours
d = 0.5 hour
n = 10
We want to determine the value of the 10th term, T10. Therefore,
T10 = 3 + 0.5(10 - 1)
T10 = 3 + (0.5 × 9)
T10 = 7.5 hours
