Answer: it will take 9 weeks before you are up to jogging 60
minutes per day.
Step-by-step explanation:
jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you
increase that time by 6 minutes per day. This means that the number of minutes is increasing by 6 for each week. This is an arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
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 = 12 minutes
d = 6 minutes
n = 25
Tn = 60 minutes
We want to determine number of weeks it will take to reach 60 minutes per day. Therefore,
60 = 12 + (n - 1)6
60 = 12 + 6n - 6
6n = 60 - 12 + 6
6n = 54
n = 54/6 = 9
