Respuesta :
Answer:
62 Baskets.
Step-by-step explanation:
CORRECTED QUESTION
Janelle practices basketball every afternoon in her driveway. Each day her goal is to make 4 more baskets than she made the day before. If she makes 10 baskets the first day and meets her goal for 2 weeks how many baskets will Janelle make on the 14 day.
- The first day, she made 10 baskets
- Her goal is to make 4 more baskets than she made the day before.
- This means, the number of baskets made keep increasing by a common term 4 every day.
- This is an example of an arithmetic progression.
The nth term of an arithmetic progression is obtained using the function, [tex]T_n= a+(n-1)d[/tex]where a=first term, d=common difference.
In the problem above, a=10, d=4
We want to determine the number of baskets Janelle made on the 14th day which is the 14th term.
[tex]T_{14}= 10+(14-1)4=10+13*4=10+52=62[/tex]
On the 14th day, Janelle made 62 Baskets.