Question

9. Lanie has decided to add strength training to her exercise program. Her trainer suggeststhat she add weight lifting for 5 minutes during her routine for the first week. Each weekthereafter, she is to increase the weight lifting time by 2 minutes. How many minuteswill she be devoting to weight lifting in week 10?

Answer 1

We can identify the sequence, since Lanie starts with 5 min and increases by 2 every week, therefore, a possible sequence identification would be:

$\begin{gathered} a_n=2n+3 \\ \text{Where:} \\ n=\text{Number of weeks} \\ n\in N \end{gathered}$

Evaluating the sequence for the week number 10 (n = 10):

$a_{10}=2(10)+3=20+3=23$