Answer:
[tex]15[/tex] reps
Step-by-step explanation:
Given:
He plans to start with two reps and everyday he will complete two more reps than the day before, and he starts with three reps on the first day.
Find the reps will he do on the 7th day of training.
So, we found the series.
[tex]3,5,7,9...[/tex]
In this series the first term a is 3
And common difference d = 2
The sum to n terms of an arithmetic progression.
[tex]a_{n}=a+(n-1)d[/tex]
So, the seventh terms of an arithmetic progression.
[tex]a_{7}=3+(7-1)2[/tex]
[tex]a_{7}=3+6\times 2[/tex]
[tex]a_{7}=3+12[/tex]
[tex]a_{7}=15[/tex]
Therefore, He will be done [tex]15[/tex] reps on the 7th day of training.
