problem solving

Question

Janelle practices basketball every afternoon in her driveway. Each day her goal is to make 4more 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

Answer 1

This is an arithmetic progression where the first term A(1) = 10 and each succeeding term is 4 more than the previous term.  So A(2) = 14, A(3) = 18, A(4) = 22 and so on.  

 

The Nth term will be equal to 10 plus 4 times (N-1), so numerically 

 

A(N) = 4(N-1) + 10

 

So A(14) = 4*13 + 10 = 62 baskets made on the 14th day