Solve the problem.
-To train for a race, Will begins by jogging 10 minutes one day per week. He increases his jogging time by 5 minutes each week. Write the general term of this arithmetic sequence, and find how many whole weeks it
Takes for him to reach a jogging time of one hour.
A) $a _ { n } = 5 n + 5 ; 11$ weeks
B) $a _ { n } = 5 n + 10 ; 10$ weeks
C) $a _ { n } = 5 n + 5 ; 10$ weeks
D) $a _ { n } = 5 n + 10 ; 11$ weeks

Question

Solve the problem.
-To train for a race, Will begins by jogging 10 minutes one day per week. He increases his jogging time by 5 minutes each week. Write the general term of this arithmetic sequence, and find how many whole weeks it
Takes for him to reach a jogging time of one hour. 
A) $a _ { n } = 5 n + 5 ; 11$ weeks
B) $a _ { n } = 5 n + 10 ; 10$ weeks
C) $a _ { n } = 5 n + 5 ; 10$ weeks
D) $a _ { n } = 5 n + 10 ; 11$ weeks

Quizplus · Accepted Answer

The general term of an arithmetic sequence is given by $a_n = a_1 + (n - 1)d$, where $a_1$ is the first term and $d$ is the common difference. Here, $a_1 = 10$ minutes and $d = 5$ minutes. Substituting these values gives $a_n = 10 + (n - 1)5 = 5n + 5$. To find when he reaches 60 minutes, set $5n + 5 = 60$ and solve for $n$, which gives $n = 11$.

Solve the Problem an=5n+5;11a _ { n } = 5 n + 5 ; 11an​=5n+5;11

Solve the Problem $a _ { n } = 5 n + 5 ; 11$